Speaking after Hamburg lost 2-0 to Wacker Innsbruck in a pre-season friendly, Kreuzer warned his players to pull their socks up, otherwise they risk another uphill start to the season after making one of their worst starts on record last year.
"You can't just think that we're coming to Austria for a short break and having a light workout against an Austrian first division side," he said.
"As a Bundesliga side, it's not on to present yourselves like this. I hope this was the last time."
Anybody who does repeat such a lackadaisical performance my find themselves on the transfer list, according to Kreuzer, who is looking for excuses to lower the wage bill.
"Our priority is to reduce the size of our squad," he added on Sport1.de.