We prove a moving lemma that implies the contravariance of Bloch-Esnault's additive higher Chow group in smooth affine schemes and that of Binda-Saito's higher Chow group (taken in the Nisnevich topology).
Reference : IMRN https://doi.org/10.1093/imrn/rnz018
ArXiv link : https://arxiv.org/abs/1507.07619