Roberto Mancini said he "didn't want to disrespect anyone" by disappearing down the tunnel before South Korea took the penalty that eliminated his Saudi Arabia team from the Asian Cup on Tuesday.
"Our target is to try to win the Asian Cup after 27 years," he said.
The Saudis, who beat eventual champions Argentina at last year's World Cup in Qatar, have been without a coach since Herve Renard left to take charge of France's women's team.
Luciano Spalletti will be the new head coach of Italy's national soccer team, the country's football federation said on Friday, replacing Roberto Mancini who resigned on Aug 13.
The Italian Football Federation and Luciano Spalletti have reached an agreement for him to succeed Roberto Mancini as coach of the national team, according to reports in the Italian press on Friday.
Roberto Mancini insists that a potential move to the Saudi Arabia national team is not the reason for his sudden and highly criticised decision to quit Italy.
Roberto Mancini has resigned as head coach of the Italian national team, the country's football federation (FIGC) said on Sunday.
Roberto Mancini's side take on Spain in Enschede, the Netherlands on Thursday.