Dressing up as Elsa, the blond queen with magical powers from Disney’s animated film “Frozen,” wasn’t necessarily Jeff Hemmig’s idea of a good time.

​​“It was well outside of my comfort zone,” Mr. Hemmig, 43, said.

But he knew it would make his son, Jace, happy. So Mr. Hemmig, who lives in Killingly, Conn., squeezed his shoulders into a dress his mom made for him, which matched an Elsa costume she had made for her grandson. Mr. Hemmig then performed a rendition of “Let It Go,” choreography and all, as Jace watched.

“He loved it,” Mr. Hemmig said. “He was filled with joy.”

Mr. Hemmig wasn’t thrilled about wearing the dress: He said it was tight in the armpits and it made him feel vulnerable. But he loved how it delighted his son, then 3. “Seeing Dad do it, too, felt like a big moment,” Mr. Hemmig said.

Like the Hemmigs, countless parents have gone to great lengths to satisfy their Elsa-obsessed children since “Frozen” was released in 2013 and became the cornerstone for one of Disney’s most successful franchises. And Mr. Hemmig is far from the only father to dress as Elsa with his son.

Such instances have happened enough that the actor Jonathan Groff, the voice of the character Kristoff in “Frozen” and “Frozen 2,” thanked the films’ directors at a 2022 event for “creating space for young boys to dress up as Anna and Elsa,” the franchise’s sister protagonists.

Jacqueline Ayala had been a preschool teacher for five years when “Frozen” came out, and it quickly infiltrated her classroom. For a time, Ms. Ayala recalled, there was only one Elsa dress in its dress-up chest. “That’s why the kids started wearing their own costumes to school,” she said. “So they wouldn’t have to share it.”