(kʊdəv ) Could've is the usual spoken form of 'could have,' when 'have' is an auxiliary verb.

Is could've correct?

And yes, could've is an acceptable contraction. ... Contractions are abbreviations of words blending together. Can't is a contraction of “cannot.” Won't is a contraction of “will not.” The proper contracted forms of could/would/should have look like could've/would've/should've.

Is could've a verb?

contraction of could have, when have is used as an auxiliary verb and appears before another verb:I wish I could've been there.