However, speaking on Friday for the first time since the window closed, he said he was “hopeful” of extending his deal – if the conditions were right.
Asked if he felt let down by the club’s inability to back him, Rodgers said: “It’s not about me.
“I want Celtic to be the very best that it can be. My ambition is for the club, for our supporters, for the players.
“It’s not a personal thing for me. I can only do my very best to improve what it is we need to improve. Whatever situation I’m in, I will then look to be the very best that I can be.
“The first time I was here, I probably left because of that [frustration at lack of backing]. But I won’t be doing that this time. Absolutely no chance – 100%.
“My duty is to be here and help the team, the squad, the club get back again and moving on.”
Asked if a window that Rodgers admitted “could have been better for us” had made him ponder quitting, he added: “It didn’t. It didn’t make me think to walk away. I just felt empty, if I’m honest.
“It was a long process and the weight is on your shoulders when you’re here, carrying everything. When it doesn’t quite go the way you want, then of course you have an empty feeling.
“But then you know as one of the leaders of the club and particularly the manager of the team, you’ve got to get your head around it and you’ve got to deal with it and then you’ve got to try and maximise what you have.”
When pressed on whether this summer had influenced his thinking with regard to remaining at the club beyond this season, Rodgers said: “No, it hasn’t really changed from the last time.
“I would love to stay here longer. I’ve had informal chats with Dermot [Desmond, the majority shareholder] and Michael [Nicholson, chief executive].
“I haven’t had an offer yet to think over and until that comes then I’m not going to be so arrogant to say, ‘yeah, I want to be here for another three years’. The club might not want me here.”
He added: “If not, then it’s maybe just there’s two philosophies that don’t quite add up and I also accept that.
“I’ll go away, I’ll be a Celtic supporter for the rest of my life and we’ll go our separate ways. But my hope was to come back here, to take the club forward.”