Yes it can definitely run on Raspberry Pi 3, I’ve had Kodi running successfully on Raspberry Pi 2 (albeit with some minimal frame rate drops at 1080p60). I’d recommend beefing up the heatsink as a precautionary measure, especially if mounting to the back of your TV.What are the specs for Raspberry Pi 3?
The full specs for the Raspberry Pi 3 include: CPU: Quad-core 64-bit ARM Cortex A53 clocked at 1.2 GHz. GPU: 400MHz VideoCore IV multimedia. Memory: 1GB LPDDR2-900 SDRAM (i.e. 900MHz) USB ports: 4.