The Trotters were not expected to be among the strugglers after an impressive campaign last season but have found it tough going virtually from the start.
They boosted their hopes of staying up significantly on Saturday, though, with a 2-1 victory over QPR that lifted them out of the bottom three and dropped Rangers into it.
Coyle has remained resolutely upbeat despite their problems, and the Bolton boss said: "We never get too carried away or too low because we know the big picture and what we're trying to do at the club.
"Our young players will continue to get better but short term we have to make sure we stay in the league and from there we'd be in a fantastic position to move this club forward."
Coyle was full of praise for Saturday's performance, with Darren Pratley giving the hosts the lead eight minutes before the break and Ivan Klasnic netting the winner in the 86th minute after Djibril Cisse had equalised just after half-time.
Captain Kevin Davies once again had to make do with a place on the bench while top scorer Klasnic only came on with 10 minutes to go, but Coyle said: "They're all pulling together, they all want the same thing and that's for Bolton to remain in the Barclays Premier League.
"If we had lost that game, QPR would have been five points ahead of us. As it is we leapfrog them and they're due to play the top six clubs in the country in the last 10 games so we know there's tough fixtures for everybody out there. We have to make sure we're ready to capitalise on ours and I believe we truly are."
While it was undoubtedly a huge win for Bolton, the main talking point after the game was the officials' failure to award QPR a goal in the 19th minute despite Clint Hill's header clearly crossing the line.
Bolton defender Sam Ricketts said: "I was right next to Bobby Zamora and he was adamant it was in. I couldn't really tell, I just thought it was a great save at first.
"It would have made a difference them getting the first goal but they got one in the second half that was offside so in a round about way it sort of evens it out."
The Premier League are hopeful of introducing goal-line technology for next season, and Ricketts believes it cannot come soon enough.
The Wales international said: "I think it needs to be introduced. Football's come down to such fine margins now. It would be an instant decision, you're not asking for replays.
"It's hard for officials to keep up, the game's getting quicker each year. It's a split-second thing for referees and linesmen to make these decisions.
"From our point of view, we'd be hugely disappointed if that had gone against us. But we've been unlucky this season so it was nice for it to turn around."
Ricketts is now hoping such a crucial win and the relief of being out of the bottom three can give Bolton the impetus to climb away from trouble.
He said: "It makes a big difference. It's a chance for us now to hopefully push on. We've got some other games coming up that we're looking to win as well so it's down to us to put performances in like this one to keep climbing up.
"Confidence is a huge thing and it's easily knocked and hard earned. When we win like this it's important to keep the confidence all week. There's no point winning one week and then losing the next."
The result was a huge blow to QPR's hopes of avoiding the drop but boss Mark Hughes hopes the feeling of injustice will spur them on in the tough matches to come.
He told www.qpr.co.uk: "It's my job now to lift the lads. We're under no illusions that we've got a difficult run-in, but the circumstances will bring us even closer together."