The Washington National Cathedral disputed President TrumpDonald John TrumpSenators demand more details from Trump on intel watchdog firing Overnight Health Care: Trump steps up attack on WHO | Fauci says deaths could be lower than first projected | House panel warns federal stockpile of medical supplies depleted | Mnuchin, Schumer in talks over relief deal Trump says he'll look into small business loan program restricting casinos MORE's claim that he had to "approve" the funeral of the late Sen. John McCainJohn Sidney McCainEsper faces tough questions on dismissal of aircraft carrier's commander Democratic super PAC targets McSally over coronavirus response GOP senator suspending campaign fundraising, donating paycheck amid coronavirus pandemic 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.