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There seems not to be a conversion from CC to ZZ, but there is one from CC to RR and one from RR to ZZ, so you can do:

sage: p = poly.change_ring(RR).change_ring(ZZ) ; p
A^2 + 2*A*B + B^2 + 2
sage: p.parent()
Multivariate Polynomial Ring in A, B over Integer Ring