Lampard’s first game as Chelsea manager witnessed a resounding 4-0 defeat to Manchester United at the Old Trafford, with Marcus Rashford scoring a brace as Anthony Martial and Daniel James all added their names to the scoresheet.
And Mourinho, a new pundit for Sky Sports aimed a dig at his former midfielder for not starting more experienced players, questioning the performances of Mason Mount and Andreas Christensen.
Responding to the statement by the Portuguese trainer, Lampard insisted he will not concentrate on comments over his squad selection.
“He didn't like the performance of Mason Mount? Is that what he said? Did he? Wow," he told a news conference.
"Well, I can't drag players out of the medical room to play if they are experienced or not, so these are the players that played in a game that we were clearly the better team for 45-60 minutes.
"What was evident that we made individual errors that led to four goals out of their five shots. So there's the harsh reality for us.
"I don't have to be too concerned about what anyone else says, pundit-wise or anyone, they have to speak. At the same time, what's clear is the squad is what we've got and I believe in it.
“If we go in at half-time 2-1 or 3-1 up, as we probably should have done if we were more clinical and maybe had a stroke of luck here and there, the game would've been completely different."