Ivan Klasnic gave Bolton the lead 11 minutes from time, but a late equaliser by Jermaine Beckford made it 1-1.
Coyle told Sky Sports: “It’s just a measure of how far we’ve come in such a short space of time.
“We’re disappointed to come to Goodison and draw the game.
“Having said that, I thought Everton at various stages of the game had us under pressure and it was a terrific game.
“Having got in front through a very good goal we’re disappointed to lose an equaliser in the fourth minute of injury-time and it certainly should have been avoided, so that’s a disappointment.”