The name “Palencia” usually refers to a club, not a specific player, so your question “who does Palencia play for” is a bit ambiguous.

As of the 2025–2026 season, the best‑known Palencia football side is Palencia Club de Fútbol, a Spanish club based in Palencia (Castile and León) that plays in the Spanish Tercera Federación – Group 8. If you meant a specific player with the surname Palencia (for example, a defender or winger named Palencia), I’d need their first name or position to identify which team they currently play for, because multiple professional footballers share that surname across different leagues.

If you tell me the first name (or the league/country you’re thinking of), I can narrow it down to the exact club.