Fleetwood was paired with Francesco Molinari to face the resurgent Tiger Woods and Masters winner Patrick Reed in the morning fourballs session.
Fleetwood and Molinari got the first point on the board for the Europeans and prevented a second consecutive whitewash in the process with the fourballs event finishing 3-1 to the Americans.
They trailed by two with eight to play, but Molinari birdied the 11th and 12th, with Fleetwood repeating the feat on the 15th and 16th before the Italian finished it in style with another birdie on 17.
“We are only halfway through the day so you have to keep going but, for me, I could talk about Fran all day,” Fleetwood told Sky Sports.
RYDER CUP LIVE: UPDATES FROM DAY ONE AT LE GOLF NATIONAL
“It was pure class. To have a partner like Fran is amazing.
“Those last few holes and the pressure you feel, you can see the leaderboard, and us being together that is the Ryder Cup, that feeling on 15 and 16.”
Fleetwood’s playing partner Molinari added: “We both played very well.
“We had a couple of moments when we had to reset, start again and get the crowd going a little bit and we need to get some points back this afternoon.”
What is Tommy Fleetwood’s net worth?
Exact figures for Fleetwood’s net worth are not known but he has amassed career earnings just shy of £10million (€11.25m).
The 27-year-old has has four wins to date on the European Tour.
He won the 2017 Open de France which is held at Le Golf National, this year’s Ryder Cup venue.
His biggest lift so far in terms of prize money came at the US Open in June, when he finished as runner-up to Brooks Koepka and took home $1.3m (£1m).
Fleetwood signed with Nike as an amateur and has remained with the iconic sports brand since then.
How to follow the Ryder Cup – TV channel, live stream, radio coverage
Sky Sports will be broadcasting live coverage of the Ryder Cup in the UK.
Existing customers will also be able to stream the action via the Sky Go app, which can be downloaded across a host of iOS and Android devices.
If you don’t have a Sky Sports subscriptions but still wish to tune in, golf fans can purchase a Sky Sports pass through NOW TV.
Day passes, which give you access to Sky Sports channels for 24 hours, cost £7.99 a day, with a weekly pass priced at £12.99 and no locking into a contract.
Radio coverage in the UK comes from BBC 5 Live and talkSPORT 2, with access around the world available online via the offical Ryder Cup website.