Adam Sýkora a signé un contrat de 3 ans d'une valeur de 2 850 000 $ avec les Rangers de New York, le 15 juill. 2022. Le contrat comporte un cap hit de 838 333 $.
Sykora said that he models his game after Boston Bruins' star Brad Marchand. Sykora said that "I really like Brad Marchand from the Boston Bruins. He’s like a rat and he isn’t scared of (taller) players."[5]