
Mexico scored their first goals of the tournament in a 2-1 victory over Saudi Arabia, but they failed to advance to the knockout stages due to a worse goal differential than Poland.
“I am the first person responsible for this terrible disappointment and frustration that we have,” Martino said after the match.
“As the person in charge, it causes a lot of sadness, I fully assume responsibility for this great failure.
“My contract ended as soon as the referee blew the final whistle and there is nothing more to be done.”
It is the first time since 1978 that Mexico have failed to advance out of the group stage in a World Cup, not including the 1990 tournament that the country was banned from.
Martino took over El Tri in 2019 after leading Atlanta United to the MLS Cup title.
However, Mexico struggled against the US and Canada during World Cup qualifying, losing to both teams on the road and drawing at home.
Mexico also lost to the US in the finals of the Concacaf Nations League and the Gold Cup.
Criticism of Martino continued to mount as Mexico managed no goals and only one point in its first two games in Qatar.
Meanwhile, former Manchester United and Real Madrid forward Javier “Chicharito” Hernandez was left off Mexico’s World Cup roster.
Martino previously coached the national team for his native Argentina as well as for Paraguay.
The Athletic reported in July that he had already decided to part with El Tri after the World Cup.
He ends his tenure with Mexico with a win-draw-loss record of 42-12-12 across all competitions.