Born in Buccinasco in 2005, he began playing in Atalanta's youth academy.
On September 3, 2023, he made his debut in the Under-23 team, playing in Serie C. At the end of the season, he had made 41 appearances, scoring three goals and providing three assists. He had the satisfaction of making his first-team debut at just 18 years of age in the Europa League match against Raków Częstochowa.
Last season, he became a permanent member of the first team: he came on as a substitute in the UEFA Super Cup final against Real Madrid on August 14, 2024, and a few days later made his Serie A debut in a 4-0 win against Lecce. Another memorable date was November 26, 2024, when he played his first Champions League match against Young Boys. In total, he made 15 appearances for Bergamo in national and international competitions.
He is part of the Under-21 squad. He made his debut for Italy on November 19, 2024, in a friendly against Ukraine.
Physically imposing, standing at 186 centimeters tall, with great stamina, Palestra is a full-back who can be used on both the right and left sides. Skilled in both phases of play, his technical repertoire includes dribbling ability, vision, and tactical intelligence. When he pushes forward, he is dangerous thanks to his speed and ability to deliver inviting crosses to his teammates.