Wesley Fofana and Kasper Schmeichel departed after Ademola Lookman's loan expired, with third-choice goalkeeper Alex Smithies and deadline-day signing Wout Faes all that came the other way.
Leicester chairman Aiyawatt Srivaddhanaprabha explained their restricted transfer approach in his programme notes ahead of a game that ended with boos at the final whistle.
"I'm happy that the window's shut, if I'm being honest," Foxes boss Rodgers said. "I mean, there were huge distractions for this window.
"You'll have read the programme notes and seen the situation that the club is in, so to have to watch virtually every single club in the top five leagues get players in and for us not to be able to improve, that was difficult, not just as a manager but for the players, because players want to compete.
"This group have shown that they can compete, but we needed (help) but unfortunately we haven't been able to get that.
"So, in terms of the results, it's my responsibility. I take that.
"We should have won by now. We've been in a couple of games and in really good positions, but we weren't able to see it through, so I totally understand it.
"Supporters want to see the team win and if they're not they'll tell you.
"So, for us, we won't hide behind the rock and go away. We're ready to fight now but it's going to be really, really important that the supporters really get behind the players.
"As I said, it's a really, really challenging situation with not being able to freshen up this team and this group of players.
"We really need their encouragement and help to push the players through.
"We'll get a win sooner rather than later but we really need them behind us and that's important."