Arsenal have long been linked with the 25-year-old.
“We heard rumours and he asked me. I said it’s a fantastic club and if he’s interested he should go without thinking,” Gilberto told the BBC.
“He is exactly what they need – a powerful player with quality. I’m sure if they got him it would be a good signing.
“I have told him Arsenal is a great club and I am sure next season they will improve. He is a very good player.
“Felipe has shown in the national team that he has personality and quality. I am sure he has a lot more to grow as well.
“He is a talented young player, strong, powerful and has a good quality in his pass. My partnership with him works well and I hope we can carry on doing well for Brazil,” Gilberto concluded.