Bale had previously said he would make a decision on his international future after the delayed tournament but walked out of a BBC interview when asked if he had played his last game for Wales following their 4-0 last-16 loss to Denmark in Amsterdam on Saturday.
However, speaking to S4C, he made it clear he will not be calling time on his Wales career.
"I want to continue to play. People ask stupid questions all the time, but obviously, I love playing for Wales," said Bale.
"I'll play for Wales until the day that I stop playing football.
"We've just started the World Cup campaign, and we need to take this experience into that.
"I feel like we have a very good way of playing when we play well and we need to keep that confidence high, keep playing football and I think we can qualify for the next World Cup."
Wales are third in Group E of UEFA qualifying for the 2022 World Cup in Qatar having taken three points from their opening two games. Belgium are top with seven points with Czech Republic in what would be a play-off spot in second.
They return to action with a qualifier in Belarus on September 5 but before then Bale will likely seek to clarify his club future.
He spent last season on loan at Tottenham, who are still without a permanent replacement for former manager Jose Mourinho, but is due to return to Real Madrid, where his contract expires at the end of the 2021-22 campaign.
Bale fell out of favour with Zinedine Zidane but it remains to be seen whether he will have a chance to revive his Madrid career under Carlo Ancelotti, who returned for a second spell at the club this month having delivered a long-awaited 10th Champions League crown for Los Blancos back in 2014 in his first stint.
On target in the 4-1 win over Atletico Madrid in the 2014 final, Bale has since won a further three Champions League titles under Zidane with Madrid.