The powerful frontman scored twice and set up the fourth goal as the Trotters beat Harry Redknapp's high-fliers 4-2 at the Reebok.
England boss Fabio Capello, who will pick his squad next Saturday for the friendly against France, was in the crowd to witness the victory.
Coyle believes it is important that Davies - who won his first cap when he came on as a substitute against Montenegro last month - gets another chance at England level and he was pleased Capello was there to see the 33-year-old playing at his best.
The Bolton boss told The Mail on Sunday: "Nobody put in a better performance than our captain and I was glad Fabio Capello was there to see it.
"Kevin dominated the game from the first seconds - at times he was unplayable.
"He makes a contribution even when he doesn't score but when the goals come, he goes on to another level.
"It is more important for Kevin to be given a chance again. I don't like to tell other managers who to pick but anyone who watched him will have seen what he did."
Davies said: "I am pleased that I helped us win the game, that is the most important thing.
"We will see what happens when the squad is announced. It will be absolutely amazing (if selected). If not then I will keep doing what I am doing for Bolton."
Capello is short of options in attack with Manchester United's Wayne Rooney and Tottenham's Jermain Defoe both sidelined with injury.
Spurs boss Harry Redknapp is desperate for the striker to return and give his side a lift.
He said: "We have missed Defoe's goals. I am sure he would have five or six already, which makes a massive difference. We miss the little fellow."
Without Rafael Van der Vaart and Aaron Lennon, who both had hamstring injuries, Redknapp saw his side fail to build on the glorious Champions League victory in midweek against holders Inter Milan.
Both players are "struggling" to face Sunderland on Tuesday, according to Redknapp, while Robbie Keane has an ankle injury.
Bolton, who did not allow Gareth Bale the freedom to impose himself as he did against Inter Milan, made the breakthrough in the 29th minute with Tottenham shooting themselves in the foot.
Sandro carelessly lost possession to Fabrice Muamba, who played the ball on to Taylor. He found Davies and his finish was clinical.
Redknapp believes Sandro learned a harsh lesson and said: "The ball came into him and he thought he had all the time in the world.
"In Brazil they drop off you, you look up and play, but the ball wasn't there any more. Muamba had sacked him. The ball is shifted to Davies and we are 1-0 down. But Sandro will be a good player."