I saw this result in [_A Model Category Structure for Differential Graded Coalgebras_](https://ncatlab.org/nlab/files/GetzlerGoerss99.pdf) by Getzler-Goerss, but when the coalgebra is non-negatively graded, is this property also satisfied when the dg coalgebra is $\mathbb{Z}$-graded?.

Thanks.