The Colorado Republican Party said it had asked the U.S. Supreme Court on Wednesday to hear an appeal of the bombshell decision from the Colorado Supreme Court ordering former President Donald J. Trump’s removal from the state’s primary ballot. The state court ruled that he was ineligible to hold office because he had engaged in insurrection.

The justices are likely to agree to hear the case, given the importance of the question it presents and the need for a nationwide answer to it.

The filing of the petition seeking review of the state court’s ruling also had a practical impact, extending a stay entered by the Colorado court while the justices consider the matter. That means Mr. Trump will remain on the primary ballot for now.

Mr. Trump is expected to file his own petition in the coming days. A lawyer for the former president declined to comment, and his campaign did not immediately respond to a request for comment.