Fenway Park has been transformed into a lyric little gridiron for Saturday night’s Boston College-Notre Dame showdown.

And just so those yard markers and goal posts don’t go to waste, Fenway will host four high school games next Wednesday and Thursday.

After that? The sky is literally the limit: in preparation for a ski and snowboard “big air” competition in February, a 110-foot-high ramp will soon be erected that’ll dwarf the Green Monster.

But you ain’t seen nothing yet: Red Sox president Sam Kennedy envisions a night when the Boston Celtics play at Fenway Park.

“We would love to consider a Celtics game at Fenway,” Kennedy said yesterday from Dallas, where he’s attending Major League Baseball’s owners meetings. “I think it would be very cool.”

Kennedy said that in conversations with Celtics president Rich Gotham, “We’ve kicked around the idea. It’s something I think we should pursue. I know there are a lot of risks associated with outdoor basketball, but it can be done.”

Gotham, who talked with Kennedy about the idea while attending a Red Sox game, said, “I think it would be pretty cool as well.”

The tricky part would be when to play the game. The Celtics wouldn’t be able to play in the spring because of the NBA playoffs, and November would present weather challenges. October might work for a preseason game, though a possible Red Sox postseason would have to be taken into consideration.

“You never say never,” Gotham said. “But we would have to factor for weather. Obviously playing outdoors, wind, temperature, things like that, have an impact on the game. Maybe an exhibition game would be more realistic than a regular-season game.

“The games we play in the warmer weather would tend to be NBA Finals games,” he said. “As much as I know everyone in Boston would love it, I don’t think we’d be playing one of those at Fenway.”

Though the Celtics have never played at Fenway Park, the old Kenmore Square ballyard has hosted basketball. According to Sports Museum of New England curator Richard Johnson, the famed Harlem Globetrotters took their magic to Fenway in 1954, 1955 and 1963. On July 29, 1954, a crowd of 13,344 watched the Globetrotters defeat the “United States Stars,” whose roster included future Celtics Frank Ramsey and Lynn native Lou Tsioropoulos, as well as former Holy Cross star Ron Perry Sr., a native of Somerville.

“I remember it well,” said Perry, now 83, when reached yesterday at a Holy Cross women’s basketball game. “They had the court out in left field, as I recall. I was in awe because I also played baseball and was a big fan. We had a good crowd and everyone had a lot of fun. After the game we all took a train up to Bangor and played them again the next night.”

Perry believes he’s probably the only person to play baseball and basketball at Fenway Park. As a pitcher at Somerville High he played in a Hearst All-Star game sponsored by the Boston Record-American, forerunner of the Herald.

The old Boston Patriots played at Fenway in the 1960s. The Bruins played there on New Year’s Day in 2010, beating the Philadelphia Flyers in the Winter Classic. That leaves the Celtics as the only one of the region’s four major pro sports teams not to take their game to Fenway.

If/when it happens, it’ll likely close the books on exotic sporting events at Fenway, right?

Wrong.

“Ultimate Fighting Competition is something that we would have to strongly consider if there’s interest,” Kennedy said. “We just want to make sure if we’re creating the right type of atmosphere and event. I wouldn’t rule anything out.”

Kennedy is taking a “Back to the Future” approach to how Fenway Park gets used when the Red Sox are on the road or in their offseason.

“If you look back in history,” he said, “most of what we’ve done is really a return to the past, whether it’s football, soccer . . . Outdoor ice hockey had never been done, so that was new and different. And the skiing and snowboard event, that is the first of its kind. That will be extremely unique.

“But we want to make sure any events we have, and I say this with humility, are worthy of Fenway Park.”

Here’s hoping Sam Kennedy and Rich Gotham say yes. What an event: The Green meet the Green Monster. Danny Ainge could tell reporters about his days as an infielder with the Toronto Blue Jays, when he played against Carl Yastrzemski, Jim Rice and Fred Lynn in a three-game series in 1979.

And maybe somebody could find an oldtimey White Owl cigar ad and put it on the Green Monster.

That would be for Red Auerbach.