After the way he left? Adam Gase wouldn't take another job from Elway if his hair were on fire, and Elway wouldn't have him either. They can't stand each other after the way Elway fired him. That bridge was burned down and the ashes poured water on and the ashes stirred and then more water poured on and felt with the hand just to make sure the ashes are now cold. Smokey Bear would approve of of how extinguished that flame is on both sides of that bridge.
I enjoy it when people suggest funny things though and I admit I got a laugh of the thought of Elway having to introduce Adam Gase as his new Head Coach and choking.