grammar - A song came on tv

I'm not a native English speaker, so I wanted to ask something. How would you say that
'As i was zapping through the channels, and this song came on'.
Is this a correct sentence? Basically what I want to know is the phrasal verb for the song, as in the song was on air ? Sorry I know its not a correct sentence. Help me please.

• Next word choice - Unsure on the pronouns/verbs/tense to use here
• Previous grammaticality - Use of "what" vs "that"