The Uruguay international enjoyed an impressive first season in the Premier League, scoring five goals, and is pleased to have become an important player for the Saints.
"There is a lot of talk about the transfer market but I think I'll stay at Southampton," Ramirez told tuttomercatoweb.com.
"I want to repay the trust of the club. I'm happy in England and I have always dreamed of playing in the Premier League.
"There has been talk in the past of interest from Fiorentina and they are a club that I like. But Southampton count on me a lot."
Saints have been linked with a move for another Uruguayan, with Nacional winger Gonzalo Bueno reportedly attracting interest, and Ramirez believes his compatriot would be a good signing.
"I know him well," added Ramirez. "He has great quality and he would give us a helping hand if he came to Southampton."