COUNTIF without an array

Hi there,

I've been looking around forums with regards to COUNTIF functions without an array but I can't seem to find the perfect solution for my situation.

Basically, I need to count only certain cells and if it satisfies the conditions. Eg. If COUNTIF could allow non-range cells, it'll look something like COUNTIF((A1,B2,C3),">3") and the result would be 2 if according to the sample table below

A B C
4 2 3
3 5 4
6 1 2

Thus I would be selecting individual cells, counting them if it satisfies the condition.

Hope someone could help!

PS I've tried using a formula,with respect to the above table, COUNTIF(A1:A1:B2:B2:C3:C3,">3") but it doesnt seem to be correct.

Thanks