The former couple got engaged in January 2016 after two years of dating. Hodak was arrested Monday for violating a restraining order Sweetin has against him.
The 35-year-old actress was previously married and divorced three times.
"Thank you so much to everyone who has reached out over the past two weeks," she wrote in a post Thursday.
"It's definitely been a roller coaster, but with amazing family, friends and fans, I'll be just fine! These two little loves are my everything and we will make it through!! Thank you for all the love!! #momlife #grateful #wegotthisbaby."
The message accompanied a photo of Sweetin with her two daughters.
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