He warned Turkey would impose heavy sanctions if his visit were blocked.
Similar meetings in Austria, Germany and Switzerland have also been banned.
That comment drew a sharp response from German leaders, with Chancellor Angela Merkel describing the comparison as “unacceptable”.
Rotterdam Mayor Ahmed Aboutaleb said earlier this week that the owner of the hall scheduled to hold Mr Cavusoglu’s event in the city on Saturday had withdrawn authorisation, but the foreign minister could still visit.
“He has diplomatic immunity and everything so we will treat him with respect, but we have other instruments to prohibit things happening in public spaces,” Mr Aboutaleb said, quoted by Reuters news agency.
There was also uncertainty about whether an event he was due to attend in Zurich, Switzerland, on Sunday would go ahead after one venue refused to hold it.
Relations between Turkey and European countries have deteriorated since last July’s attempted coup in Turkey. Germany has been critical of the mass arrests and purges that followed – with nearly 100,000 civil servants removed from their posts.
Turkey is a key partner in an arrangement attempting to limit the movement of migrants into the EU, but has threatened to “open the gates” if the EU reneges on commitments to provide aid, visa-free travel for its nationals and accelerated membership talks.