Yes, if your PS3 has Custom Firmware (CFW) and you install PSP Launcher. But performance is worse than PPSSPP on a PC.
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You don’t need a real PSP. Here are the top emulators: Yes, if your PS3 has Custom Firmware (CFW)
Despite the PSP’s ability to run scaled-down versions of console games (as seen with the PS2 port of Sonic Unleashed Sonic Unleashed Psp Rom