"I must now think about it and my employer will be doing the same".
Danny Blind was sacked as Netherlands coach on Sunday after a 2-0 defeat to Bulgaria left the team's chances of reaching the World Cup finals hanging by the slenderest of threads.
"It makes sense that I put myself in front of the mirror".
Blind took over from veteran Guus Hiddink in 2015, with a mission to revive the Dutch team's faltering European Championship qualification campaign.
The Dutch FA (KNVB) announced the decision in a statement after Blind, had been called in for crisis talks.
Blind admitted his decision to start De Ligt, 17, in defence was a mistake and would consider his future.
Olivier Giroud's 22nd worldwide goal gave Didier Deschamps' team the lead, but the host leveled six minutes later when Aurelien Joachim converted a penalty to become the first Luxembourg player to score against France in 39 years.
"I blame myself", he told national broadcaster NOS, adding that, "It can't go on like this". But he will become a great defender. But we did not play a good game, or even a bad game.
The 55-year-old had questioned his own future following Saturday's loss in Sofia, which left the Dutch six points off the pace at the halfway stage of the European qualifying campaign for the 2018 finals in Russian Federation.
As a result, the Dutch are fourth in World Cup qualifying group A, with seven points from their five games to date.
Fred Grim, the Holland Under-21 coach, will take charge of the senior team for Tuesday's friendly with Italy in Amsterdam as the KNVB begin the search for a new permanent boss.