It’s no audition, but it will be sure to attract plenty of eyeballs — perhaps even some from the home team’s front office.

Reds right-hander Luis Castillo, one of the top two starting pitchers on the market ahead of MLB’s Aug. 2 trade deadline, will start Thursday at Yankee Stadium against one of the many teams that could have interest in him, depending on the cost.

The Yankees — who saw Luis Severino exit with an apparent injury during their game against the Reds on Wednesday night — like Castillo, The Post’s Jon Heyman recently reported. With the Reds requesting either Anthony Volpe or Oswald Peraza — their top two prospects, both shortstops — the Yankees could decide the price is too steep and turn elsewhere for starting depth, especially with other areas (such as outfield) to address.

Still, the start Thursday will be of particular interest. Castillo is expected to be one of the top pitching prizes (along with the Athletics’ Frankie Montas) for a contender — if not the Yankees, surely one of the teams they could face come the postseason.

“I’ve always heard those rumors for quite a while now,” Castillo said through an interpreter on Wednesday. “But the team has all the control over that, I don’t. So I just go out there on the mound and do my best.”

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Castillo has been especially sharp of late, perhaps whetting the appetite of inquiring clubs. In his last three starts (against the Cubs, Braves and Rays), he has allowed just two runs over 20 innings, while striking out 25 and walking five, lowering his season ERA to 2.92.

The 29-year-old is under team control through 2023, which will make the prospect return in a potential trade more expensive. But his talent may be worth it for teams seeking top-of-the-line pitching, especially for the postseason.

“He is one of the premier pitchers out there,” Yankees manager Aaron Boone said. “Certainly been the Reds’ ace for the last few years. He’s a special talent [with] a really special changeup.”

The Yankees’ rotation of Gerrit Cole, Severino, Nestor Cortes, Jordan Montgomery and Jameson Taillon had started 84 of the team’s 88 games through Wednesday night. That unit combined good health with strong results through the first two months of the season, though parts of it have begun to show some cracks in recent weeks, and Severino’s early exit provides another cause for concern.

There are also workload concerns to monitor with Cortes, and while the Yankees have solid starting depth with JP Sears, Clarke Schmidt and Domingo German, they still may want to add an arm before the trade deadline.

Castillo had been linked to Yankees in recent offseasons, but he said his focus Thursday would be on himself instead of the opposition.

“They’re a really good team this year, but that doesn’t mean I can’t stay on focus and stay on track of what I’m doing out there,” Castillo said.

Still, Castillo said he was looking forward to the start, which will be the second of his career in The Bronx after he pitched here as a rookie in 2017.

“It’s one of the biggest stadiums in all of baseball,” he said. “It means a lot to me that I’ll be pitching here. It’s pretty significant that I’ll be pitching here and start another game here.”

While Castillo’s teammates hope he remains a Red past the trade deadline, they have relished having him around and getting to watch him pitch.

“Just his presence in the clubhouse, he’s an unbelievable dude, easy to root for and has fun,” catcher Tyler Stephenson said. “Obviously everybody knows the velocity and the changeup. Whenever he’s throwing strikes with all three pitches, it is tough [to face him]. But he’s easy to call a game for and fun to be around.

“I feel like the bigger the stage, the better he throws,” Stephenson added. “That’s just kind of his personality. He goes out, he has fun, he’s always smiling and competing. He loves the moment.”