Rangers did come close to scoring after falling 3-0 behind as Alfredo Morelos and Bruno Alves were both denied by good saves from Craig Gordon.
"It was a very good game", said Rodgers.
"What the players have done in the last couple of seasons has really inspired the supporters to believe that at times we can achieve the impossible". We missed him in the last game. He has taken the opportunity to go and expand his football knowledge elsewhere. "It's a lonely place standing out there watching that but it's not something I shirked away from and the players shouldn't shirk from it either, if anything we need to make sure this doesn't happen again".
As for the remarks by King, which were interpreted widely as an indication that the Ibrox board will not extend Murty's period as interim manager beyond the summer, he said: "I haven't had a conversation with the chairman".
The defending for Celtic's second goal was even worse, Russell Martin failing to clear Kieran Tierney's cross and instead presenting the ball to McGregor, who gladly dispatched it into the far corner of the net beyond the diving Wes Foderingham.
What did you think of his all-round display? "I will look at myself and learn from it".
Rodgers' opposite number Graeme Murty told Sky Sports the sending-off of Ross McCrorie for a pull on Dembele tarnished the visitors' hopes of turning the game around in the second half.