Giants radio broadcaster Dave Flemming is one of several candidates for the high-profile gig as play-by-play voice on ESPN’s “Sunday Night Baseball,” a job that current partner Jon Miller held for 21 seasons.

Flemming said Wednesday that he expressed interest in the job. He said it would not impact his role with the Giants, whom he said have supported his national work.

Other candidates include longtime “Baseball Tonight” host Karl Ravech and Jon “Boog” Sciambi, who calls the Sunday night games for ESPN radio.

Dan Shulman is stepping down from the highly coveted TV job because wants to travel less and spend more time at home in Toronto. When Shulman announced his decision in September, Flemming got a call that day from EPSN saying he would be considered.

Flemming, 41, is entering his 15th season with the Giants. He broadcasts 130-135 games a season for the club, mostly alongside Miller, who called Sunday night games for ESPN from the show’s inception in 1990 through 2010. ESPN did not renew his contract and hired Shulman to replace him.

Flemming also has a contract with ESPN to do roughly 70 events a year, spread among Major League Baseball, college football, college basketball and other events such as the Little League World Series.

He said he has no intention now of leaving his job with the Giants to pursue full-time national work. He already does Monday night games for ESPN, which he said he would not expect to do if he gets the Sunday job.

Whoever replaces Shulman will work alongside Jessica Mendoza and a new analyst who would replace Aaron Boone, whom the Yankees hired as manager.

Henry Schulman is a San Francisco Chronicle staff writer. Email: hschulman@sfchronicle.com Twitter: @hankschulman