The Red Devils are searching for a replacement for Sean O'Driscoll, who left to take charge of Nottingham Forest when their new owners decided to make their mark by replacing Steve Cotterill.
Steve Coppell, the club's director of football, and coach Craig Brewster, are in charge in a caretaker capacity – and their appears no end in sight for them.
Dean Holdsworth, the Aldershot boss, was the first to turn them down, and Sheffield United academy director John Pemberton was not interested when approached last week.
Dickov revealed on Tuesday night - after a 2-1 friendly win over Manchester City in which former Iron Cliff Byrne made his playing debut - that his loyalty to the Latics meant he did not give much consideration to Crawley's approach.
"It wasn't a very long conversation. I love what I'm doing here, I love my job. I'm very respectful and flattered that Crawley did approach me but, at the same time, I want to try and build something here," he said.
"I don't think loyalty is rife in the game at the moment. Simon has given me a chance and I want to show a bit of loyalty back as well."