Can You Play GameCube Games on PS3?

No. The PlayStation 3 cannot play Nintendo GameCube games. The hardware, media, and software architectures are fundamentally incompatible.

Component	PS3	GameCube
CPU	Cell Broadband Engine (1 PPE + 7 SPEs, PowerPC-based)	Gekko (PowerPC 750CXe, single core)
GPU	RSX (Nvidia G70 derivative)	Flipper (ATI/ArtX, fixed-function + TEV)
RAM	256 MB XDR + 256 MB GDDR3 (Split)	24 MB 1T-SRAM + 16 MB DRAM (Unified)
Media	Slot-loading 12cm DVD/BD	Top-loading 8cm miniDVD (1.4 GB)
OS/API	GameOS / Hypervisor	Bare-metal proprietary

No translation layer exists. Instruction sets differ; GPU register maps differ; media physically incompatible.

PC (Dolphin): Excellent GC/Wii emulation. Requires decent CPU (single-thread performance). Best way to play GC games today.
PS3 Homebrew: No Dolphin port exists for PS3 (Cell PPE too weak for JIT; SPEs extremely hard to utilize for GC emulation). RPCS3 (PS3 emulator) runs on PC, not vice versa.

Original GameCube + Component Cable (best video) or Carby/GCVideo HDMI mod ($100-150).
Wii (Backward Compatible): Native 480p, GameCube ports, HDMI mods available (WiiDual, GCVideo). Best original hardware experience.
Wii U (Wii Mode + HDMI): Also plays GC via Wii Mode + Nintendont (homebrew).
Dolphin on PC / Steam Deck / Android (Snapdragon 8 Gen 2+): 4K, 60 FPS, widescreen hacks, texture packs, save states.

PS3 is a dead end for GameCube. Get a Wii (cheap, native BC) or use Dolphin.

PS3 Games