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Clarke Gayford has since apologised for "any issues or confusion" caused by the incident.
In a post on a private Facebook group, Tauranga pharmacist Michael Taylor said a group of vaccinated musicians had come into the store and requested RATs after having been potentially exposed to Covid-19.
Taylor said he explained the Ministry of Health rules required them to instead get a laboratory-based PCR test.
"As they didn't like this they got Clarke Gayford on the phone who proceeded to tell me that there had been a change in guidance and these people should be given RAT tests," the post said.
"When I explained that we had not received any direction from the MoH he was very unimpressed."
Gayford did not respond to RNZ's interview requests, but his manager issued a brief statement: "Mr Gayford was rung by a friend about rapid antigen testing and was put on speakerphone while the person was in a pharmacy.
"He apologises for any issues or confusion this may have caused the pharmacy staff."
A spokesperson for the prime minister declined to comment, instead referring RNZ to the statement issued on behalf of Gayford.
National Party Covid-19 spokesman Chris Bishop described the incident as "deeply inappropriate".
ACT leader David Seymour also published a tongue-in-cheek statement, commending Gayford for "advocating for rapid antigen tests".
"I'd never hold a politician responsible for their partner, but I hope the prime minister will lift the crazy restrictions on rapid antigen tests that her fiancé was trying to fight against."