Mercedes have had two miserable races in Monaco and Baku, so they enter the seventh event of the 2021 season trailing Red Bull by 26 points in the constructors' championship.
Hamilton, meanwhile, is four points behind Max Verstappen – who was cruelly denied victory in Baku last time out – in the drivers' standings.
The Briton is hoping to avoid missing the podium in three straight races for what would be the first time in the Hybrid Era, having finished seventh in Monaco and outside of the points in Azerbaijan.
He and Toto Wolff are optimistic that a return to Circuit Paul Ricard, which the team boss described as "a more traditional circuit", will help them turn their campaign around.
Hamilton triumphed there in 2018 and 2019, the first races in France after a nine-year absence from the F1® calendar. On both occasions Mercedes were dominant.
Michael Schumacher holds the record with eight wins at the French Grand Prix, a race where this year Hamilton hopes to reboot his attempt to move above the German by claiming an eighth world title.
Veteran Fernando Alonso was the last driver to win for a French team in this grand prix, doing it for Renault (now Alpine) 16 years ago in the 2005 season when he claimed his first championship.
After Verstappen triumphed around the streets of Monaco and Sergio Perez claimed a blockbuster success in Baku, Red Bull now face a pivotal test of their title aspirations.
If they emerge from three races in as many weeks in France and Austria (which hosts two) still in front, it will be an impressive and significant statement to Mercedes.
There is nothing we can do about the past but learn. We rise each day to a new opportunity and chance to be better than the day before. I for one am driven, more focused than ever and looking forward! We win and we lose together, we can do anything we put our mind to! pic.twitter.com/kr3N0NHf9Y— Lewis Hamilton (@LewisHamilton) June 7, 2021
LAST TIME OUT
Remarkable late drama at the Azerbaijan Grand Prix saw Perez grab the victory after Verstappen crashed out and title rival Hamilton incredibly finished 15th.
Verstappen looked to be coasting to a second consecutive win and seventh straight podium – both career firsts, only to see a rear tyre blow out and end his race with five laps to go.
A red flag followed Verstappen's crash, meaning a standing start with Perez ahead of Hamilton on the front row of the grid for an incredible two-lap sprint finish following the delay.
In another twist, Hamilton – who had stressed on team radio the importance of staying cautious and having the long game in mind after Verstappen's retirement - looked to have seized an unlikely victory when he moved up the inside, only to make a mistake with his brake settings that saw him career off the circuit.
WHAT TO LOOK OUT FOR IN FRANCE
All eyes are on how Mercedes respond as they find themselves in a position they are not used to, as Red Bull relish their recent run and look to press home their advantage.
Hamilton missed a chance to reclaim the lead from Verstappen in Azerbaijan but will like his chances to do so as he gets another opportunity at Le Castellet.
Bottas' woes this season have not all been his fault – he was unfortunate in Monaco – but he sits sixth in the standings and needs an immediate turnaround to save his Mercedes future.
Home hope Gasly comes into the race on form, with five straight points finishes and a podium in Baku, while another French driver – Esteban Ocon – is on a high having just signed a new deal with Alpine.
After watching Leclerc impress to claim back-to-back poles for a resurgent Ferrari, Carlos Sainz will race for the 125th time looking to end a run that has seen him appear in the most grands prix without winning or taking pole of any active driver. He has scored points in both his previous France races, while Leclerc made the podium in 2019.
TOP FIVE OPTA STATS
Record in sight – Mercedes will again attempt to equal Ferrari as the team to have recorded the most one-twos in F1® qualifying ever (80).
A first for Red Bull – Christian Horner's team come to this grand prix after winning two races in a row with a different driver for the first time in the Hybrid Era.
Perez pace – The Mexican is enjoying his best career streak of top-five finishes, having had four in a row including his Azerbaijan win.
History made - Gasly was the first French driver to score a point in a French GP in this century when he came 10th in 2019, the first since the Jean Alesi finished fifth in 1997 at Magny-Cours.
Poor conversion - Leclerc has recorded only two wins out of the nine pole positions in his F1® career (22.2%). If the Monegasque is on pole without claiming victory in this race, only Rene Arnoux (11.1%) and David Coulthard (16.7%) will have a lower ratio of victories from pole of drivers to have at least 10.