The Trotters dropped to 19th after their 1-1 draw with Swansea City.
Coyle insisted Bolton are still more than capable of getting out of trouble, adding: "I'm very confident. We decide our own fate.
"We've got five games, a lot of teams round about us only have three.
"We'd rather have points in the bag but we've got 15 points to play for and who's to say we can't take many of them."