“If you were involved in these violent incidents, please report yourself to prevent it from being made public,” the authorities said.
Dutch police have given the five suspects until 8.30pm on Friday November 15 to come forward. If the suspects fail to turn themselves in, the police said they will release unblurred photographs of them.
On Tuesday, Dutch police made five further arrests over the violence following the Maccabi Tel Aviv-Ajax match on Thursday night.
The new arrests come on top of 63 arrests announced by the authorities since the violence erupted in Amsterdam.
Five people were treated in hospital and others sustained minor injuries. According to the Israeli embassy, hundreds of Maccabi fans were attacked.
Police also made several arrests after further unrest in the city on Monday which saw a tram engulfed in flames when dozens of youths dressed in black attacked cars and targeted a tram. Videos on social media show the tram being pelted with fireworks and its windows shattered.
All demonstrations have been banned in Amsterdam until Thursday.