Does the singer have a foreign accent in his English? If yes, what kind of accent do you think he has?

[Bernard]

 

[teechar]

Yes, he is definitely not a native speaker of English.
For instance, the opening line sounds like:
Makes me "sudd" to "tink" "off" you.

 

[probus]

I agree it's a non-native accent. I can't pinpoint where he's from and googling him didn't help with that.

 

[jutfrank]

He's clearly not a native speaker. He has a strong Slavic accent, probably Russian.

 

[emsr2d2]

According to this website, "Pihel" is a very common surname in Estonia. That makes sense.