The Washington National Cathedral disputed President TrumpDonald John TrumpMark Kelly clinches Democratic Senate nod in Arizona Trump camp considering White House South Lawn for convention speech: reports Longtime Rep. Lacy Clay defeated in Missouri Democratic primary MORE's claim that he had to "approve" the funeral of the late Sen. John McCainJohn Sidney McCainMark Kelly clinches Democratic Senate nod in Arizona Prominent conservatives question Jerry Falwell Jr. vacation photo NRCC poll finds McBath ahead of Handel in Georgia MORE (R-Ariz.). 

"Washington National Cathedral was honored to host the funeral service for Senator John McCain. All funerals and memorial services at the Cathedral are organized by the family of the deceased; only a state funeral for a former president involves consultation with government officials," a cathedral spokesperson said in a statement to The Hill on Thursday. 

"No funeral at the Cathedral requires the approval of the president or any other government official," he added. 

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President Trump said on Wednesday in Ohio that he gave McCain "the kind of funeral that he wanted."

“I gave him the kind of funeral that he wanted, which as president, I had to approve,” he told a crowd at an Ohio event. “I don’t care about this, I didn’t get 'thank you.' That’s OK. We sent him on the way, but I wasn’t a fan of John McCain.”

McCain's funeral was held at the Washington National Cathedral in September. He was also honored by lying in state in the Capitol Rotunda in Washington, D.C., and the Arizona Capitol in Phoenix.