More than 1,400 people signed the petition online at Change.org amid concerns over Vick's past crimes. The college has hosted four out of the last five Jets training camps and was expected to play host for the 2014 edition.
The former Atlanta Falcons and Philadelphia Eagles passer was convicted of organizing a dog-fighting ring in 2007 and was suspended from the league for two seasons.
The petition states: "We MUST send the message that we won't be party to the torture of animals by conveniently forgetting what he has done. If we welcome Vick onto our campus, we are complicit in his crimes."
Vick was signed on a one-year $5 million contract this offseason after his deal with the Eagles expired. He spent much of last season on the sidelines after an injury robbed him of the starting QB job in Philadelphia. He was replaced by Nick Foles, it is unclear at the moment if he will be the starter for the Jets or whether he will serve as an experience backup for Geno Smith.
Cortland have not yet announced whether they will host the New York Jets training camp this summer.