Croatian sends Coyle's side through to set up tie at Craven Cottage.
Ivan Klasnic’s 67th minute winner was enough to see Bolton through to the fifth round of the FA Cup as they defeated Wigan 1-0 at the DW Stadium, setting up a tie with Fulham at Craven Cottage on Sunday.
The away side started the game the better with Martin Petrov forcing Wigan 'keeper Mike Pollitt into a punched save which Fabrice Muamba reacted to slot home, only to be flagged offside by assistant referee Andrew Madley.
Wigan's first bit of pressure on the Bolton goal nearly reaped reward as Jordi Gomez’s cross was diverted into his own net by David Wheater, however Adam Bogdan, in for Jussi Jaaskelainen, was able to react and pounce on the ball at the second attempt .
The Latics threatened again soon after, this time Franco Di Santo slipped in behind the Trotters defence but was unable to get his shot on target when well placed to let the away side off the hook.
Santo was nearly made to regret his miss when Gary Caldwell under-hit a back-pass to Pollitt and Elmander pounced with a sliding effort to try and squeeze the ball in from a tight angle, but fortunately for Caldwell and Wigan, Pollitt produced an excellent save to deny the Swede.
Pollitt was soon in the action again, this time to deny Klasnic for whom the ball fell to 12 yards away from goal, but the Wigan shot stopped produced another spectacular save to deny Bolton from making the break through.
Klasnic had another chance to open the scoring minutes later after good work from Paul Robinson down the left, but the Croatian miss-hit his effort when it appeared easier to score, much to the disappointment of the Bolton bench.
The visitors were beginning to assert their dominance on the game and Pollitt was tested yet again by Petrov, who showed great composure and guile to control the ball and unleash a stinging volley from outside the area forcing the Wigan 'keeper to tip the ball over the bar to continue his impressive display between the sticks.
And Bolton were very unlucky not to take the lead before the break when Elmander hit the inside of the post from a free kick which had Pollitt beaten. The ball rolled across the goal-line before it was hacked clear by the hosts.
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In the second half Bolton again came out quickest, this time Muamba had an audacious effort from outside the area fly just over the Wigan goal, as the midfielder started the half in a similar explosive manner to the first.
Roberto Martinez was then forced into a change, as the injured Callum McManaman was replaced by Victor Moses as the Latics boss looked to provide an added spark for the home side, and his side were almost repaid instantly.
Moses produced a powerful run at the Bolton defense before he fired just wide as the ball crashed into the side netting. His direct approach was certainly something Wigan were missing in the first half.
The Latics began to see more of the ball as the visitors loosened their grip on the game after an impressive first half and James McCarthur should have done better with his shot as he failed to test Bogdan who was almost a spectator in the opening 45 minutes.
Depite the home side getting a foothold in the game it was the Trotters who took the lead through Klasnic, who finally hit the back of the net in the 67th minute after several spurned chances.
Mark Davies received the ball in the middle of the field turned and scurried towards goal, and as Gary Caldwell began to close him down he threaded the ball to the Croatian, who stroked it to the far post and under Pollitt.
Wigan nearly responded straight away through Gomez whose shot crashed the bar with Bogdan beaten after good work from McCarthur on the right flank.
With the home-side pressing for an equalizer, Bolton were looking to hit them on the counter attack, and Coyle's side could have sealed the tie through the impressive Petrov, who was unlucky to see his effort hit the side netting.
The hosts tried in vain to get back into the game but were unable to break through a resolute Wanderers defense for whom Wheater and Cahill looked solid all evening. Wigan now must concentrate on getting themselves out of the relegation zone, as with more performances like these they could be in trouble.
Bolton are looking good on both fronts and now travel to Fulham on Sunday where they will fight for a place in the quarter finals to continue Owen Coyle’s quest to bring European football back to the Reebok Stadium.