Pique told The Sun: "I have said before and I still do that my hope is that one day he will play for Barcelona.
"I would love to have him alongside me because as well as a good person, he is a great player.
"I would love him to be here this year or if not then next year. He would give us more.
"I haven't spoken to him recently. I don't know how Arsenal set up are economically but I do know that he is a great player and a real friend of mine and he is a Barcelona player - he has been in the youth system here and he knows what we are about. He could perform perfectly here."