The attacking midfielder has been attracting interest from all over Europe, having also been linked with moves to AC Milan and Real Madrid.
After moving to the Stadio Olimpico in 2011, Pjanic has struggled to cement his place in Zdenek Zeman's first-team squad, and said that whilst speculation linking him with a move to the Premier League is flattering, he is concentrating on his football in Italy.
"I have to admit it is nice to hear when your name is mentioned in the same sentence with all these clubs," the Bosnian international told SportSport.
"However, at this point I do not want to think too much about a possible transfer in the future. I just want to stabilise myself in the first XI at Roma."
Gunners boss Arsene Wenger is believed to have been monitoring Pjanic for some time, as has Spurs chief Andre Villas-Boas. Add to that, Roberto Mancini's interest and it makes for a three-way Premier League fight for the player's much-coveted signature.
Pjanic was being lined up as a replacement for Luka Modric at White Hart Lane, while Wenger instead secured the signature of new Emirates Stadium favourite Santi Cazorla. City signed Jack Rodwell and Scott Sinclair.
It has been reported in recent weeks that the 22-year-old had fallen out with his coach, Zeman, fuelling speculation that a move away from Rome could be imminent. But, after his latest comments, a January transfer now looks unlikely.