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Abstract We propose, following the AGT correspondence, how the W N , n para $$ {\mathcal{W}}_{N,n}^{\mathrm{para}} $$ (n-th parafermion W N $$ {\mathcal{W}}_N $$ ) minimal model characters are obtained from the U(N ) instanton counting on ℂ2/ℤ n with Ω-deformation by imposing specific conditions which remove the minimal model null states.