The PlayStation 4 (PS4) works with Elgato Game Capture HD60.
In general, Elgato Game Capture HD60 can work with a game console with the following characteristics:
1) Must have either HDMI output
2) When HDMI is used, the signal must be unencrypted (no HDCP protection)
3) Must output standard TV resolutions, like 480p, 576p, 720p, 1080i or 1080p
• HDMI - up to 1080p
Elgato Game Capture HD60 comes with one HDMI cable, that can be used for HDMI output.
Before you set things up, make sure to connect your PlayStation 4 directly to your TV set or display via HDMI, without using Elgato Game Capture HD60.
Then, visit the Settings > System section of the PlayStation 4 interface, and turn off Enable HDCP.
After that, you can use your PlayStation 4 with Elgato Game Capture HD60.