Ryan Giggs got his interim regime off to a flying start[GETTY]
Netherlands coach Louis van Gaal is still the frontrunner for the position and talks remain ongoing.
Giggs didn't do his credentials any harm by guiding United to a 4-0 win over Norwich at the weekend in his first game in charge.
And his old friend Neville believes Giggs should be given a chance to prove his worth.
"He's an experienced hand. He's won trophies in different countries and managed the biggest clubs in Europe," Neville told Sky Sports.
Gary Neville wants Man Utd to appoint a British manager [GETTY]
I would like a British manager be appointed because United have always appointed British managers
Gary Neville
"He's the favourite at the moment and we know nowadays, just through the weight of media speculation, sometimes, where jobs are going to go. I think at the moment it's pushing towards him.
"I would have liked to have seen Ryan have two or three games. He started well on Saturday, so let him have two or three more games to see whether he settles into the position and whether he can bed in and be given that role.
"I don't think there's any certainty wherever you go. There's the idea that Ryan hasn't got experience but he knows the club and there's the idea that Van Gaal has massive experience, but doesn't know the Premier League.
"At the end of the day the owners will do what they want to do. I suppose in some ways they want an experienced hand, but I personally would like to see a British manager be appointed because Manchester United have always appointed British managers."
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