The 22-year-old claims that Tito Vilanova's side have already made an enquiry about his "situation" in Rome.
"It's true, Barcelona are tracking me and enquired about my situation with my club," he told Spanish news agency EFE.
"They were watching me during the game with Fiorentina. It is Roma who have to decide as the clubs deal with these matters.
"In any case, it is clear that Barcelona are a team everyone would like to play for and it is an honour that they are interested in me."
Pjanic joined Roma from Lyon in the summer of 2011.