The Wales international has started the 2013/14 campaign in impressive style following a mixed couple of seasons at the Gunners, scoring three goals in five games in all competitions.
Ozil, 24, signed a five-year deal with the north London side on Monday after Arsenal agreed a club-record £42.5m fee to secure the Germany playmaker’s services from Real Madrid.
But Wales manager Coleman insisted Ramsey doesn’t deserve to be dropped after a brilliant start to the campaign.
“All Aaron has to do is keep doing what he has been doing. Ozil is a great player, but if Aaron keeps playing like he is, then I don’t think it will be Aaron Ramsey losing his place.
“I’m not the Arsenal manager and it’s not up to me. It’s up to Arsene Wenger and he’s a quality manager. But if Aaron keeps doing what he has been doing then I can’t see him losing his place.”
Coleman believes Ramsey has finally turned a corner in his career after the midfielder suffered a broken leg in a 1-0 loss to Stoke City in 2010.
“I’ve had serious injuries myself as a player,” added Coleman.
“People talk about the physical part, which is important as you have to get the agility, but mentally it is tough. It’s hard.
“It’s taken him time, but you have to look at him during pre-season and the start of the season and take your hat off to him and say he’s got himself back in that position where he’s playing the football we all thought he was capable of. He’s looks fantastic.”
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