The Nice ace is one of the most sought-after players in this summer's transfer window after attracting interest from a host of clubs across Europe.
West Ham and Liverpool have both expressed an interest in the 23-year-old while Stoke held talks with Remy and showed him around their training ground on Thursday.
Up to eight clubs are thought to be chasing Remy's signature with the player deciding to visit Stoke's training ground after Potters boss Tony Pulis and assistant manager Dave Kemp flew out to see him in France earlier this week.
Remy's agent, Frederic Guerra, admits the player was impressed by Stoke's desire to sign him, but that he was in no rush to decide what club he wants to move to.
"Loic is a polite person and after Tony Pulis and Dave Kemp came to see him in France, he felt it was right to come and look at Stoke," Guerra told skysports.com.
"Loic did not know much about Stoke, but he was very impressed by what Tony and Dave had to say to him.
"He was also impressed by Stoke's training ground and he was amazed by the enthusiasm of the club's fans after arriving there.
"Loic is thankful for Stoke for showing an interest in him and he wishes them all the best for the future.
"However, Loic is in no rush to make a decision on his future.
"There are eight clubs - four in the UK - who are all chasing Loic and he will take his time before deciding what is the best move for him."