The Dutchman is currently assistant coach at Ajax.
"At Arsenal it was a good click. I always enjoyed it. I never had a bad day there. It is always on my mind. It is part of my ambition to come back at some stage," Bergkamp told the Daily Telegraph.
"I've spoken to or have heard about others [former Arsenal colleagues] who would also love to come back.
"Steve Bould is there now which is excellent. I've spoken to Patrick Vieira and Thierry Henry would love to come back to Arsenal one day. Tony [Adams] is a big option as well."
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