Start with the renewal path, not the logo. A processor may support one-time WooCommerce payments without supporting the recurring billing model your gym needs.
GymCore works through WooCommerce. Compatibility depends on the gateway, subscription extension, country, currency, and payment methods in your setup. WooPayments, PayPal, Stripe, and Square are common options, but support and fees vary.
Before moving live payments, confirm the full purchase and renewal path in a sandbox. Include failed-payment handling, refunds, and the records staff will use for reconciliation.