What is the correct name for compound cocl3?

As written 'cocl3' it means nothing. !!!

Do you mean 'CoCl3' or ' COCl3' both of which are different formulae.

CoCl3 is 'Cobalt(III) Chloride'

COCl3 as a molecule does NOT exist.

NB When writing chemical formulae symbols. single letter symbols are ALWAYS a CAPITAL letter. Two letter symbols are written , first letter is a capital letter and the second letter is small/lower case.

Hence

'co' is written as 'Co' (Cobalt).

'cl' is written as 'Cl' (Chlorine).

Compare to

'C' Carbon and 'O' oxygen .

NNB The molecule 'COCl3 ' does not exist . However, there is COCl2, which is 'di-chloro methone' Structurally 'Cl-C(=O)-Cl'.