Moyano had youth spells with Lobos and San Lorenzo.[2] He started off his senior career with San Lorenzo, first appearing in their squad in 2017 when he was an unused substitute for an Argentine Primera División match with Rosario Central on 10 September.[1] He eventually made his professional debut in January 2018 during a 2–0 loss away to Talleres.[1][3] On 28 January 2019, Moyano was loaned to Argentinos Juniors for one year, with a purchase option.[1][4] On 2 January 2020, the loan spell was extended for another six months.[5] In July 2020, the loan spell was extended once again, however, this time with a purchase obligation of $350,000 for 80% of his rights.[6] He became a permanently Argentinos player from 1 January 2022, signing a one-year deal with the club.
In July 2024, he joined Talleres, signing a four-year deal.[7]