The 25-year-old is available as a free agent at the end of his contract and has also been drawing admiring glances from other sides in his native France.
His efforts in 2013/14 have helped to raise his profile, with five goals netted from midfield and five assists provided for grateful team-mates.
It could be that he is soon showcasing his creative talents on an English stage, with Hull City reported to be leading the chase for his services.
West Bromwich Albion and Crystal Palace have also been linked, but they will face competition for his signature from the likes of Nice, St Etienne and Bastia in Ligue 1.
Agent Willie McKay, who is working with Mondial Promotions on Ayite’s future, told Sky Sports: “A number of clubs are interested in Floyd as he enjoyed a fine season with Reims last year and is also a free agent.
“Several sides in France want to sign him and I have spoken to a number of clubs in the Premier League about Floyd.
“Floyd has indicated he would like to play in England and I feel he would make a great signing on a free transfer.”