The Reds were brushed aside at the Emirates Stadium to leave them seven points adrift of fourth-placed Manchester City, who have a game in hand against Crystal Palace on Monday night.
Reports emerged in the British media on Monday morning claiming Rodgers attempted to ease growing tensions within his squad at Melwood on their return to training at the start of this week.
But the Ulsterman has poured cold water on those rumours, saying there was nothing untoward about his post-match briefing.
“I’ve heard that this morning. It is something you can’t help,” Rodgers remarked on the reports.
“We have lots of meetings here in terms of analysing performance and it was no different to a whole host of meetings we have all year.
“Those meetings helped us recover from the bad start we had to win 10 games out of 13.
“It was nothing really; it was just analysing performance, analysing where we are at and then feeding forward to the players.
“With seven games to go and an FA Cup quarter-final the objectives we can clearly achieve between now and the end of the season.
“It is just unfortunate something else was made up. I have a great bunch of players here who tirelessly every single day give me everything and you can see that in how we play.
“We might be short in terms of several elements but in terms of the commitment and work ethic that is pretty clear and has been since I’ve been here.”