"Time for Hollywood to pony up and head for the border #illhelpyoupack #beatit," Arrieta tweeted Wednesday.
Arrieta's tweet referenced the numerous celebrities claiming they would flee the United States if Trump won the election.
Former pitcher and ESPN analyst Curt Schilling, known for his Trump support, responded to the post.
"...Trump won, USA won, USA won, we win," Schilling said in a response to a tweet.
@JArrieta34 candidates & politics aside, this reads to me as an anti-Semitic comment (and I'm not Jewish).— keithlaw (@keithlaw) November 9, 2016
Schilling was fired by ESPN in April after posting several times on social media, in opposition to the company's presidential election coverage policy. He claimed that presidential nominee Hillary Clinton should be "buried under a jail."
Some critics even viewed Arrieta's post as "anti-Semitic."
Cubs president Theo Epstein, who gave a donation to Clinton's campaign last month, said the he was "processing" Arrieta's comments.
"I'm still processing that, too," Epstein told the Chicago Tribune. "I believe in the First Amendment. But I also believe we should be mindful of how other people feel."
@JArrieta34 Good Lord. God gave you an arm. But he did pretty short work on your brain.— HarleyPeyton (@HarleyPeyton) November 9, 2016
Arrieta, 30, made $10.7 million in the final year of his contract for the World Champion Cubs. He could bolt for free agency this offseason. The 2015 Cy Young Award winner held a 3.10 ERA this season following last year's dazzling 1.77 ERA. He has a 40-14 record in his last two seasons with the Cubs.