The 19-year-old, who can play on either flank or behind the strikers, is the son of former PSG, Newcastle United and France winger Laurent Robert.
Director of Football Stuart Millar told the club website: "We are delighted to acquire the services of such a talented young player.
"Thomas could have joined any club in Europe but showed a desire to continue his football education at Airdrieonians as part of his longer-term plan of joining a top club in the UK."