European captain Thomas Bjorn has described Garcia as an "integral part" of the team room.
The former world number one produced a dominant performance last weekend to secure the Tour Championship by two shots.
The Englishman was on a Cheshire golf course with Guardiola in April when City were crowned Premier League champions.
France's Le Golf National, just south of Paris, is only the second European venue outside of Britain and Ireland to stage the biennial showdown in which the United States will be targeting a first win on foreign soil since 1993.
When it comes to the Ryder Cup, Poulter will forever be remembered for his starring role in the 'Miracle of Medinah' in 2012.
The 2016 Olympic champion will be replaced as world number one by Dustin Johnson
The 42-year-old, 14-time major winner claimed the 80th PGA Tour title of his glittering career.
The American's last victory was in 2013 at the WGC-Bridgestone Invitational.
The 30-year-old tapped in for par on the final hole to complete an astonishing 12-under-par round featuring 10 birdies and an eagle.
It is the second straight event in succession Woods has shared the first-round lead.
The 38-year-old Spaniard was selected as one of four captain's picks by European skipper Thomas Bjorn.
Celia Barquin Arozamena's body was discovered Monday by police officers who responded to a report of a "suspicious" unattended golf bag at the Coldwater Golf Links in Ames, Iowa.
The 40-year-old finished on 12 under par 272 and won the $577,000 first prize by a shot from Amy Olson (74), Mo Martin (70), Kim Sei-young (72) and Austin Ernst (68).
The 35-year-old finished his fourth round with eight birdies for a final score of 262, ending 22-under-par and five strokes ahead of Scott Vincent from Zimbabwe.
The 23-year-old was joined at the top by Lee Mi-hyang, Amy Olson and Mo Martin.