Republican presidential candidate Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE said if Corey Lewandowski worked for him, he would ask the campaign manager to resign.

"Of course," Cruz said in response to the question by Anderson Cooper during a CNN town hall Tuesday on whether he'd ask the embattled aide to resign.

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"It shouldn't be complicated that members of the campaign staff should not be physically assaulting the press," he said. "That shouldn't be a complicated decision."

Lewandowski, Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE's campaign manager, has been charged with simple battery for allegedly grabbing the arm of former Breitbart reporter Michelle Fields during a press conference earlier this month.

Cruz said Tuesday night that what happened was "consistent with the pattern of the Trump campaign."

"The culture of the campaign has been a campaign built on attacks, on insults, and I think there is no place in politics for insults, for personal attacks, for going to the gutter," he said, repeating an earlier attack, "and there should be no place for physical violence."