Fulton announced he was retiring from the NFL on Friday, Ralph Vacchiano of SportsNet New York reports.
Fulton signed a one-year contract with the Giants on Thursday, Aaron Wilson of the Houston Chronicle reports.
Houston cut Fulton on Wednesday, Field Yates of ESPN reports.
Fulton (back) was a full practice participant Wednesday.
Fulton suffered a back injury during Sunday's game against Carolina and is questionable to return.
Fulton (toe) practiced fully Friday.
Fulton (toe) was a limited participant in Thursday's practice, Aaron Wilson of the Houston Chronicle reports.
Fulton sustained a mild case of turf toe in Saturday's preseason matchup with Dallas, but it's not considered serious, Aaron Wilson of the Houston Chronicle reports.
Fulton suffered a hand injury during Sunday's 29-13 win over the Browns.
The Texans regard Fulton (shoulder) as a game-time decision for Week 12 against the Titans on Monday, Aaron Wilson of the Houston Chronicle reports.