The English defender was sent off by Stuart Attwell in the team's last league game against Tottenham, which they lost 3-0, for a challenge on fellow England international Scott Parker.
Bolton appealed the decision and it was overturned, meaning the 25-year-old is available for selection for Saturday's game against Aston Villa at the Reebok Stadium.
Coyle is quoted by The Independent as saying: "You can never be 100 per cent about anything, but we were confident that this would be the outcome.
"Hopefully, that's the end of this run of bad luck we've been on, with suspensions and everything else."
The 45-year-old's team are currently in the relegation zone with just nine points from 14 games.
Coyle expects his side to not worry about what has happened, but instead to pick up some points and climb the table.
He added: "These things are sent to test us. We've played huge chunks of three of the last five games with 10 men and that has been difficult.
"But, as far as I'm concerned, the time for talking has got to stop. We have to start picking up points.
"That starts on Saturday against Aston Villa, heading into a run of games where I think we can start moving up the table and out of a position we don't want to be in."
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