The 27-year-old had both brothers Tyson and Tommy Fury walk him into the ring along with their father John Fury.
Tyson beamed from ear-to-ear as he sat ringside with his wife Paris with Roman coasting past his opponent on points.
Svarc got a taste of Roman's power in the fourth and final round as the Czech Republic boxer was left with a bloody nose.
Roman has now won all four professional fights with Tyson clearly impressed by his sibling's performance as he stood up and applauded after the contest.
Roman Fury won on points
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“Every fight is a learning fight. He came here to win. And this was a proper learning fight," Roman said.
“Of course there’s pressure with the name. But I am enjoying life and I have come so far in two years.
"Thank you to my father for training me and I am buzzing to have the win.
“And thank you to Tyson for coming to watch me because it’s all happening thanks to him.
“I’m waiting to wake up! This feels like a dream.
Roman's father, John Fury, was also impressed by his son's display in what could have been a tricky bout.
“That was very good. (Svarc) is a strong kid," John Fury said.
"He came to win and brought pride on his country.
“That was very good for two novices.
Roman Fury was on top throughout the fight
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"(Roman) hasn’t boxed in the amateurs and he has just won in front of the big Gypsy King (Tyson).
"And I tell you what Tyson, you have to be proud of that.”
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The Fury family were all in attendance for Roman's fight
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Roman's fight was the third scheduled bout on the undercard for Joshua and Ngannou's blockbuster contest.
The heavyweight duo are expected in the ring around 11.20pm GMT and the winner has been promised fight against either Tyson or Oleskandr Usyk.
Joshua has been on the comeback trail after losing his heavyweight belts to Usyk and enjoyed a strong 2023 with three consecutive wins.