Kentucky Sen. Rand Paul voiced some of his concerns with Sen. Ted Cruz's criticism of his foreign policy ideas in an interview with Fox News host Sean Hannity on Monday evening.

“We always have been good friends. I'm not real excited about him mischaracterizing my views. I won't let that pass," Paul said, when asked if the two conservative senators were still friends.

Paul suggested that Cruz was wrong to single himself out as the heir of former President Ronald Reagan's foreign policy, suggesting that his foreign policy was rooted in Reagan's legacy as well.

“I've always been a big fan of peace through strength," Paul said, adding that most Republicans favored the idea of sanctioning and isolating Russian President Vladimir Putin for his aggressive actions in Ukraine.

"So for people to characterize that as somehow not being the Reagan position, I think they need to have a re-reading of Reagan, frankly,” he said.

Hannity asked Paul if he wanted an apology from Cruz.

“No," Paul replied. "I'll settle for maybe he just needs to work on presenting his own ideas.”

Cruz issued a statement Monday evening explaining that he had no interest in a public fight with Paul.

"Although some would like to play up divisions among Republicans, I have no desire to play their game," Cruz said. "Rand Paul is a courageous voice for liberty, and I’m honored to call him my friend."

Cruz reasserted that he did not agree with Paul on foreign policy.

"Substantive policy disagreements are a positive aspect of the political discourse, but in the fight for liberty, I am proud to stand with Rand."