The younger LaZebnik revealed: "He once sent me an email, and the header was just, 'How does Grindr work?"'
Gay social network dating app Grindr made its way into the episode, which is titled The Burns Cage.
Broadcast on April 3 in the US, the storyline sees Homer on a mission to find Smithers a boyfriend.
Mr Burns, Smithers' long-time object of affection, leaves his underling devastated by not showing an interest.
Homer turns matchmaker, but he is not completely altruistic - the Springfield resident has an ulterior motive.
Star Trek actor George Takei, who is openly gay, also makes a guest appearance as himself.
Smithers, voiced by comedian Harry Shearer, resists Homer's efforts at first.
"Oh, Mr Smithers. Come in, come in, come in," Homer says at a gathering.
"Can I get you a Tom Collins?" he asks Smithers, pushing forward a young man instead of the gin-based cocktail.
"Hmm, I see what's going on here," Smithers replies. "Fix up your boss so he won't be so hard on you. Well, nice try."
Although Smithers has hinted at his sexuality in past episodes, this is the first time the nuclear plant workers have openly talked about it.
- PAA