Coyle has reported a further improvement in Muamba's condition over the weekend, although the midfielder remains in intensive care after suffering a cardiac arrest on the field during last weekend's game with Tottenham.
"Fabrice is able to recognise people and answer questions," said Coyle. "He also watched Match of the Day on Sunday morning, which shows he is making progress, although he did fall asleep with the score at 2-0."
By dozing off, Muamba missed Steven Nzonzi's goal for Blackburn, although that was not enough to prevent Bolton securing a victory that allowed them to clamber out of the relegation zone.
"Fabrice's father, Marcel, and fiancee, Shauna, wanted to express their thanks to everyone," said Coyle.
"Football is a passionate game but nothing is more important than Fabrice's recovery."
David Wheater scored both of Bolton's goals in the victory but he admitted he did not feel it was appropriate to celebrate his first Premier League goal for the club.
"I started to run off and Darren Pratley told me to calm down," said Wheater. "Scoring is the best feeling in the world but sometimes you have to calm your celebrations when other things are happening."
Wheater has known Muamba for a decade, having appeared in various England youth teams with the 23-year-old. Bolton's next game with Tottenham offers Wheater a chance to see his stricken team-mate and, if he gets a chance, he intends to tell him all about the first brace of his entire professional career.
"He won't believe it," said the centre-half. "I don't think anyone does."