"I am going to Rotterdam today (Saturday)," Cavusoglu told CNN-Turk television in an interview. "We will impose heavy sanctions on the Netherlands" if the visit is blocked, he added.
Dutch Foreign Minister Bert Koenders on Thursday said his country would "in no way" facilitate Cavusoglu's planned visit.
"We will not participate in a visit by a Turkish government official who wants to conduct a political campaign for a referendum," Koenders said.
Cavusoglu was pencilled in to address a planned rally in the port city of Rotterdam on Saturday to gather support for a referendum in Turkey next month, aimed at boosting the powers of Turkish President Recep Tayyip Erdogan.
But Rotterdam's mayor Ahmed Aboutaleb announced Wednesday the gathering was cancelled after an owner said the rally's venue was no longer available.