Oliver Glasner believes that Crystal Palace can avoid becoming a “one-hit wonder” after winning the FA Cup by continuing to make steady progress and not doing “crazy things”.

Palace’s victory against Manchester City secured the club’s first major trophy and entry into the Europa League. Glasner revealed he had left the post-match celebrations at Wembley before the club chair, Steve Parish, was captured on video performing karaoke at a local bar and that he had missed Austria’s Eurovision song contest victory on the same evening because he was with family. “It must be a great song,” he said.

It is understood that Palace have held discussions with local stakeholders about ending their victory parade in Crystal Palace park next week, with an announcement expected in the coming days. Glasner’s side will be without Adam Wharton and the captain, Marc Guéhi, against Wolves on Tuesday night, with Wharton also ruled out of their final match against Liverpool after sustaining a concussion that forced him to miss the celebrations. From their final two games Palace need a draw to surpass their record points tally in the Premier League.

Parish said after the Cup win on Saturday that he wanted to extend the manager’s contract beyond next summer and acknowledged playing in Europe would be “a challenge” for a club of Palace’s resources. Glasner insisted he was “100% here” and had started planning for next season, although he warned it was important not to get carried away by the success.

“This club has always progressed – not huge steps,” he said. “You can be a one-hit wonder. But then you’re back, then you’re gone. It just makes no sense. That’s why we said our planning shouldn’t be: ‘Now we play in Europe.’ We do crazy things and everything collapses. How is the pathway? And we follow the pathway.

“Now it’s going step by step. Maybe getting a player we couldn’t get if we didn’t play international football; – this can help us make the next step. But not being a top-four club in England.

“For me the next step is to play between [positions] eight and 12 [in the league]. Very stable. Because you can see in the Premier League there are a few top teams, huge clubs. Because quickly you can be at the bottom of the league table. This is why I think it’s very good.

“One of the guarantees is the chairman here. He’s very stable. He’s leading this club in a very stable way and this pathway will continue.”

Palace are back in action against Wolves only three days after their Cup triumph. Glasner admitted he was unsure what state most of his players would be in when returning to training on Monday afternoon. He dismissed suggestions he could be tempted to leave the club after being linked with Tottenham.

“Every day I think about how we can improve as a team and as a club,” he said. “My own thoughts are about this. I’m 100% here.”