David Taylor, who has owned the cafe for 30 years, told the BBC the last four years had been an “emotional rollercoaster”.
He said: “People have been asking to come in, it’s just been non-stop, it’s a mecca for Harry Potter fans,” he said.
“It’s tragic to think we have been closed for four-and-a-half years.”
Taylor told the broadcaster: “The whole thing has been a bit of an emotional rollercoaster, to be honest, from day one of the fire until now opening the doors again.”
Following a £500,000 refurbishment project, the new owners of the building have signed a 20 year lease with Taylor.
Taylor, who said Rowling would be more than welcome to visit the cafe, added: “I was only introduced to her when her first book was published.
“We knew her but she wasn’t famous at that point so we congratulated her that she had had her book published.
“She was really lovely but just another customer at that point.”
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On Sunday, a post on social media from the Elephant House quipped that they were “the café that lived”.
The post added: “After 1,587 days, we’re finally ready to open our doors again on George IV bridge.
“Tomorrow at 10am, for the first time since 2021, we welcome you back.
“We’d love for you to join us, raise a cup, and be part of this moment, see you there!”