Faria is currently Manchester United’s assistant coach and has worked alongside Mourinho for the last 14 years.
The pair have won an incredible 25 trophies together since they first linked up at FC Porto 14 years ago.
Faria has been touted as a potential candidate to succeed Arsene Wenger at Arsenal this summer after the Frenchman announced that he will be calling time on his career at The Emirates at the end of the campaign.
Liverpool FC assistant coach Zeljko Buvac has also been linked with the Arsenal job.
And Manchester United manager Mourinho says he would fully back Faria to take over at The Emirates should the move become a real possibility.
Speaking at a news conference on Thursday, Mourinho said: “I say it because, more than because he is my assistant, he is my friend.
“If my friend one day has the possibility of a big job, I would help him to pack and carry the bags and to wish him luck.
“I met him when he was a kid at university and we worked together for 18 years. He is a big friend more than an assistant.
“If one day the moment arrives I would be very happy.”
Arsenal are currently preparing for their final home game under Wenger, when they host Burnley in the Premier League on Sunday afternoon.
The Gunners missed out on Champions League qualification for next season after they were beaten by Atletico Madrid in the Europa League semi-finals.
Arsenal are currently in sixth place in the Premier League table and looking as though they will miss out on a top-four finish for the second season running.
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