Zoe Saldaña is introducing her Oscar. Earlier this year, the actress, 46, took home the Best Supporting Actress Oscar for her role in Emilia Pérez — her first-ever Academy Award. At the Los Angeles premiere of her latest movie on June 10, Elio, she revealed what the statuette has been up to since. After Saldaña was asked where she now keeps the award, the Guardians of the Galaxy star told PEOPLE, “We have it in my office and my Oscar is gender fluid.” She also revealed a bit more about the shiny, gold statuette, adding that it's "trans" and "goes by they/them.” In Emilia Pérez, a Spanish-language musical and crime drama, the actress portrays Rita, a lawyer who is tasked with helping the movie's titular character (Karla Sofía Gascón) obtain a gender-affirming surgery to escape life as a cartel boss. Elio, meanwhile, centers around "Elio, a space fanatic with an active imagination and a huge alien obsession," per Disney. Saldaña stars as Olga Solís in the Pixar/Disney film, which helps her get “cool points” with her sons, she previously revealed. “Since becoming a parent, incorporating what I do — my art — into a genre that caters to children has always been a great interest to me," Saldaña said on Good Morning America earlier this month. "And I get to relate to them, and I also get some mad cool points as a mom." Plus, she added during the appearance, “my 8-year-old cannot wait for Elio to come out." The star brought all three of her sons — 8-year-old Zen and twins Bowie and Cy, 10, whom she shares with her husband Marco Perego — to the L.A. premiere. On the red carpet, she gave some insight into the family’s movie nights when they can watch a kid-friendly film of hers, like Elio. “Well, it's an experience we get to have together and we get to sort of laugh and cry together,” the Oscar winner told PEOPLE. “Now they're getting to a point where when they do see really emotional moments in films, they check each other out to see who cries first.” “And it just means that they're being really deeply moved by what they're feeling and what they're experiencing,” she added. “And I like to be a part of it. They always look at me, they go, ‘Please don't cry.’ Because I cry over everything.” Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer​​, from celebrity news to compelling human interest stories. And though Saldaña previously told PEOPLE that typically, Zen, Bowie and Cy "don't care" about her work, even they knew that her Emilia Pérez Oscar was a big deal. Specifically, she said, they compared the accomplishment to winning the World Cup. "My work is kind of like their backyard, so they do understand it and ... they care about it and then they don't," she told PEOPLE in May. "It's only through the eyes, I guess, of friends of theirs then that they'll come home and they'll be like, ... 'That's pretty cool, mom, that you've got this like big thing.' " "They think in soccer language," she continued, adding that “it's kind of like the World Cup mom. It's like the World Cup of acting.”