He made his North American debut and collected an assist in the Eagles opening night overtime defeat to the Chicago Wolves on October 5, 2018. He later notched his first goal in his sixth AHL game, a 5–3 victory over the Ontario Reign on October 20, 2018. In playing on the top two scoring lines with the Eagles, Kaut scored 12 points through 26 games before he was loaned by the Avalanche to participate in the 2019 World Junior Championships on December 21, 2018. Kaut returned to the Eagles following the Tournament, finishing his rookie season with 12 goals and 26 points in 63 regular season games. He recorded his first two playoffs goals in a 5–2 defeat to the Bakersfield Condors on April 27, 2019, unable to prevent the Eagles suffering a 3–1 series defeat in the first-round.