Mexico was lucky to reach the playoff. Panama missed out when it lost to the United States 3-2 on Tuesday after two stoppage-time goals. Panama was leading 2-1 after an 83rd-minute goal, a result that would have eliminated Mexico from the playoff.
Once the regional football power, Mexico had a poor World Cup qualifying campaign and managed only 11 points in 10 matches. It also played badly four months ago in the Confederations Cup, a warm-up for the World Cup.
The United States, Costa Rica and Honduras claimed the three automatic qualifying berths from the CONCACAF region, which takes in North America, Central America and the Caribbean.
Herrera is the eighth coach in the last seven years, a sign of the instability surrounding Mexico's national sport.
Jose Manuel De la Torre was fired in early September and replaced with interim coach Luis Fernando Tena. He was replaced by Vuectich.
"Of course this is not ideal, and nobody likes to keep changing coaches," Compean said. "When we hired De la Torre, we did it with the intention that he would stay with us through the World Cup cycle. But the results weren't there, and when the results aren't there you have to make decisions."