Mr. Kirck, 47, did not immediately respond to phone and email messages on Thursday.
Lyman Hall High School, a public school in Wallingford, Conn., did not respond to messages left for its girls basketball coach or its athletic director.
In a statement to media outlets in Connecticut, the coach, Tom Lipka, said that Sacred Heart kept trying to force turnovers and never relented with its fast-break offense.
“They showed no mercy throughout,” Mr. Lipka said.
Sacred Heart raced out to a 29-0 lead after the first quarter of the 32-minute game. At the half, the lead was 56-0. And by the end of the third quarter, it had ballooned to 80-0.
In an editorial on Thursday, The Hartford Courant newspaper commended Sacred Heart for apologizing.
“And while the ability of Sacred Heart players is undeniable,’’ the newspaper wrote, “the game needs to serve as an example for adults and students alike that winning isn’t everything.”
The schools will face each other again on Jan. 28.
Jason Shea, the head coach of the boys basketball team at Notre Dame High School in West Haven, where Mr. Kirck had previously worked, defended him Tuesday on Twitter.
“Coach Kirck made mistakes in how he handled the game last night, but enough with the character assassination,” Mr. Shea said. “Coach is a great family man, friend, teacher, & coach who made a mistake which he feels terrible about. get out of your glass houses & move on.”
Mr. Kirck was listed as the girls director of the Connecticut Basketball Academy, where Mr. Shea is also a coach.