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In a sentence
to regret
Jedného dňa ťa to bude mrzieť.
You will be sorry for it some day.
to annoy
Mrzí ma, že prišiel tak neskoro.
It annoys me that he came so late.
Other
Mrzí ma, že som zabudol na tvoje narodeniny.
I'm sorry that I forgot your birthday.
Bude ťa mrzieť, ak to neurobíš hneď.
You'll regret it if you don't do it right away.
Examples from Tatoeba (CC BY 2.0 FR).
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Includes Tatoeba example sentences when present.
Full attribution on References.