After postponing their midweek league fixture against Aston Villa out of respect for the England Under-21 international, who remains in intensive care in hospital, Bolton secured three points to climb out of the relegation zone.
Fans held up a mosaic of cards which spelled out "Muamba 6" before kick-off, referring to his shirt number, and both sets of players warmed up in jerseys sporting the midfielder's name.
"The perfect ending will be when Fabrice walks out of hospital and back to his best with that great huge smile on his face and God willing that will happen," said Coyle who added that Muamba sent a message of good luck to the team.
"Fabrice is continuing to get better which is great. He's still in intensive care but day by day he is getting stronger," he told Sky Sports.
"If I take myself back a week he has come a long way already. Today his team-mates and friends represented him in a manner befitting Fabrice.
"Football is very emotional and passionate but when something like that happens to someone you hold dear then it pales into insignificance," said Coyle.
"The players are out on their feet physically and mentally," he added after Bolton moved up to fourth from bottom.
According to club doctor Jonathan Tobin, Muamba was "in effect dead" for 78 minutes following his collapse at Tottenham.
"The support we have had from the fans, not just from Bolton but football supporters around the world, has given us so much strength," the statement read.
"We have been particularly touched by the support from the football community globally.
"Even though Fabrice has made great progress over the last couple of days, he still has a long period of recovery ahead. He has asked that you please keep him in your prayers."
