an eye Vs eyes

[six6]

I saw the sign
Keep an eye on your property.

Could I say
Keep eyes on your property.
(As we have a pair of eyes)

 

[bhaisahab]

I saw the sign
Keep an eye on your property.

Could I say
Keep eyes on your property.
(As we have a pair of eyes)

You could say, "Keep your eyes on your property".

 

[SirGod]

*Not a teacher

Keep an eye on is an idiom. You use it as it is. However, I "keep your eyes on smth" doesn't seem wrong to me, but I'd rather use the idiom.

Edit: bhaisahab was faster than me.