The match was preceded by a minute of applause for Fabrice Muamba, who has made "encouraging progress" since he collapsed but remains in intensive care.
"It is the best game in the world and the events of the last 10 days have brought that home to everybody," Coyle said. "That strength of unity, that togetherness has been so positive and long may that continue.
"When we used to go to games and there was old-fashioned banter that was quite humorous, we have gone away from that. Sometimes people want to get abusive.
"But for the last 10 days at the games it has been incredible and I think that has been great. It shows football in such a good light.
"It is the game we play and the game we love and when the games start we have to make sure, from a Bolton Wanderers point of view, we get enough points to stay in the Premier League.
"Fabrice continues to get better. That is what we are all after.
"We have to make sure we do ourselves justice on the football front knowing a colleague, a team mate and a dear friend is getting better.
"We came wanting to progress to the semi-finals of the cup.
"The reason we are here was because we knew Fabrice was getting better. It was difficult getting ready for the game but in a football context the lads applied themselves well and they had to because Tottenham are a terrific side.
"Our goalkeeper was outstanding but they deserved to win the game."