You'll be changing the subtitle options using the device that is controlling your Chromecast. This could be your Android or iOS device., You'll need to have the video open in the Netflix app to do this., This can be found in the upper-right corner, and has a speech bubble image., When you tap "OK," the subtitles will be applied to the video you are watching.
Open the Netflix app on device controlling your Chromecast.
Tap the screen on your Chromecast device to display the playback controls.
Tap the Dialog button.
Tap the "Subtitles" tab and then select the subtitles you want.
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