Coutinho has struggled to live up to his club-record fee at Camp Nou after leaving Liverpool two years ago, and is currently on loan at Bayern Munich.
Bayern are not expected to make the move permanent, with an agreed fee reportedly set at €120million, and now Chelsea have been linked with a cut-price move.
"The fact I'm an Arsenal supporter is not a secret," Joorabchian told Sky Sports News.
"I don't have any preference where the players go. I don't try to push someone to one club or another. Everything is a possibility.
"After the Champions League game he played in England we had a long chat about it.
"The Premier League is something that he has always enjoyed playing in, and loved playing in, and would probably love to come back and play in.
"The question is what are going to be the financial conditions of all the clubs, including Barcelona and all the Premier League clubs at the end of this pandemic."
However, any possible move is firmly on hold due to the ongoing uncertainty around the coronavirus pandemic.
"There is a lot of speculation but I can genuinely explain to you we have not spoken about transfers or anything like that," Joorabchian said.
"No one has the right feeling. Neither us nor the other side have the feeling to discuss something when so much is happening around the world that is so much more important."