Miazga represented the USA at Gold Cup this summer but is cutting short his holidays to join up with Vitesse.
He said: "I felt very welcome and we have all made historic success.
"That success will be expanded this coming season and I will continue to develop myself.
"That's why I returned as soon as possible after winning the Gold Cup. We are going to compete for the second prize in the club's history."
Vitesse's technical director Mo Allach added: "We would like Matt to have another year in our selection and in this way we also double the positions in the defence.
"The fact that he chose for us again and wanted to connect directly after the Gold Cup has his mentality. "
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