The former Wales coach had been director of football at Salford.
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However, The Sun says Giggs has now left the club as he has hopes of returning to management.
Giggs did spent time on the touchline in a caretaker basis with the Ammies.
He said last season, “I had the stint as Wales manager and loved it.
“Eventually I’d like to get back into management. On matchday I still get as excited as ever, probably more than ever.”