If I was suspended Friday pending review of the situation, and I turn in my resignation Monday morning , effective immediately, can my employer tell a potential future employer, I was terminated (I work in MN)

Professional in healthcare - salaried at 150k per year . Supervisor has said it could still take a week or so to get things sorted. If they find I was at fault , and suspension is warranted , they will not pay me. If they find suspension was not warranted , they will pay me retroactively . I don’t believe they will terminate me, one of the employees reporting to me actually made the error , but I don’t think my employer handled the situation appropriately, so I feel the “relationship” is over . Also, just in case, I’d rather resign than to have to explain a termination .