Lee Chung-Yong will learn from his mistake, says boss
But the former Burnley manager was quick to maintain that he only feels it is not an accurate reflection of how his charges have been playing in recent times.
The Trotters registered a 4-2 victory over Tottenham Hotspur over the weekend, and took home a point from Merseyside.
Ivan Klasnic had given his side the lead with a little over 10 minutes to go, but substitute Jermaine Beckford's late strike saw the two teams sharing the spoils.
"If someone had offered me four points from two games against Tottenham Hotspur and Everton I would obviously have taken them with both hands," Coyle told reporters.
"I am disappointed because we were in a great position to win the game - but that is the only disappointment.
"I felt my group of players were terrific tonight. Every one of them had to stand up to be counted.
"Goodison Park is one of the toughest venues in the Barclays Premier League and during the game we had to withstand periods of pressure.
"Everton are a good side with good players."
Lee Chung-Yong let his concentration slip towards the end of the game, and lost the ball before Beckford put the teams on level terms.
"He has made a mistake in the 94th minute but he is a young player and he will learn from that and get better," said Coyle.
"He has been terrific for me from day one but I said to him at the end of the game we will learn from our mistakes and grow together as a team."
Bolton are now sixth in the Premier League standings by virtue of goal difference.