After the shocking El Clasico defeat, Ancelotti took the blame on himself and stated that the “set up didn't work.”
Madrid trailed PSG 1-0 in the first leg in Paris, when Mbappe scored a stunning late winner to give the French side a 1-0 lead.
Barcelona currently find themselves at the fifth spot in the La Liga points table with 42 points from 24 outings.
Mbappe, a long-term Real Madrid target, has yet to sign a new contract with PSG and will be a free agent this summer.
The 31-year-old has scored in each of his three games in 2022, and boss Xavi Hernandez has praised him for his dedication and mentality.
Real Madrid thrashed Valencia 4-1 in the La Liga fixture on Saturday.
Real Madrid have no choice but to get on with things a hectic schedule, so Ancelotti is prudent to take responsibility with his players.
For the first 20 minutes, Real controlled the game but Getafe held on for the remainder of the first half and were comfortable in the second.