Wanderers were without a victory since the opening day of the season heading into the DW Stadium encounter, and after the match Coyle paid tribute to the travelling supporters.
"Our fans were magnificent," Coyle told Sky Sports News. "There was about 4,000 of them here today but it felt like 20,000.
"This victory is a great reward for them and I'm pleased we've managed to put smiles on their faces."
Next Saturday Wanderers welcome Sunderland to the Reebok Stadium.