The 23-year-old has been heavily linked with a move to north London in recent days, but is adamant he is hoping to stay in the Italian capital and has hinted at a new deal with the Giallorossi.
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"I've always wanted to stay here. I want to give everything to start the season well.
"I don't know about the financial situation at the club. A new contract? It doesn't happen overnight. We're talking about it.
"The desire is there and we'll see what happens in the future."
Pjanic went on to say that he would accept any decisions of the coach not to include him in the first team, with several midfielders vying for a starting place.
"There are a number of us in that position and whoever's on form will be in the team," he added.
"The coach will find the right system. We need to do what we can to let the new signings settle. There are some great players who can help us to achieve success. Then it'll be up to the coach to decide who to pick."