The Aussie came into the tie under pressure following Ajla Tomljanovic three-set loss to Angelique Kerber, needing a win in order to keep Australia’s hopes alive.
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After breaking Zverev early in the third set, de Minaur held his nerve to stay on top and secured three match points before landing the final blow.
The ecstatic 24-year-old shook his body after the win, firing up the crowd ahead of a final mixed doubles bout.
“In true Alex de Minaur fashion, grit, determination, spirit and a severe will to win,” Todd Woodbridge said on Nine’s coverage.
“… That will be a match and a moment that he will remember for a very long time.”
The victory for de Minaur seals his spot in the top 10 when the rankings are released on Monday.
Former Australian doubles grand slam winner John Fitzgerald said it would be close to one of the best of his career.
“In terms of what this means to him and his whole journey and life … this is possibly the biggest,” he said.
Post-match, an excited de Minaur paid tribute to the home crowd at Ken Rosewall Arena, attributing their support to his victory.
“I love being back home, thank you guys,” he said.
“I’ve said it before but every time I step out on court here it feels special, this is my favourite court in the whole world.
“Every time I step out here I get goosebumps, I love being here, I’m very grateful for all the support so thank you guys.”