The Trotters remain one place above rock-bottom Wigan Athletic courtesy of goal difference after being outclassed 2-0 by Manchester City, but Coyle felt his team put in a good enough account of themselves to suggest they can survive relegation.
“We don’t need to feel sorry for ourselves," he told reporters following the game.
"The pleasing thing for me is that we were prepared to come and stand toe-to-toe at times and create our own chances, which we did particularly in the first half.
“In terms of tough games in the Barclays Premier League they certainly don’t come any tougher than coming to Manchester City."
The Bolton boss paid tribute to City and England goalkeeper Joe Hart, who foiled his side’s chances of getting back into the game when they briefly threatened to equalise at the end of the first half.
“Joe Hart is a world class goalkeeper and you can see that from the save he made from young Ryo Miyaichi – when you see it back it’s an unbelievable save another great stop from David Ngog so we had a few chances of our own,” he added.
“Everybody wrote us off, but we competed and at 1-0 and we were well in the game so we’re disappointed to lose.”
Coyle believed that City’s second goal, which effectively killed the game off, was a bitter pill to swallow.
“The second goal is hard to take from my point of view as there were two or three mistakes at this level and then a sublime piece of skill from Adam Johnson when right in the byline with a back-heel," he admitted.
He also feels his team can turn the corner sooner rather than later, following a tough run of fixtures that has seen them pitted against the Premier League's elite in recent weeks.
“I stressed this to a lot of people prior to Christmas – that when we’ve got through the Manchester City game we will have played five of the top six in the country twice now," he added.
“So out of the five clubs in area of the league we’ve certainly had the tougher of the fixtures so what we must do now is take the positives from today and we capitalise on the games in front of us."
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