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Slanina přišel do Sparty již v roce 2011 jako šestiletý kluk. Prošel tak všemi mládežnickými kategoriemi. Mezi lety 2021 a 2024 nastupoval za sparťanskou devatenáctku. V jejím dresu odehrál 29 soutěžních utkání a získal dva mistrovské tituly.
V uplynulé sezoně si zahrál také za rezervu, i když spíše jen sporadicky. Celkově nasbíral v béčku 307 minut v průběhu pěti utkání, ale většinu z toho v říjnu a listopadu, kdy naskočil do čtyř duelů v řadě. Zbytek ročníku pak proseděl na lavičce.
Sezonu 2024/25 strávil na hostování v třetiligovém celku Loko Praha, kde zasáhl do 31 zápasů a připsal si dvě branky i dvě asistence. Po sestupu Sparty B do ČFL tak zůstane v ChNL, kde se pokusí s Českou Lípou natrvalo usadit. V Arsenalu podepsal víceletou smlouvu.