Finding chart showing the VLT/FORS2 R-band (left panel) and VLT/HAWK-I H-band (right panel) image of GRB 211106A field taken on 2021 Dec. 4 and 2021 Nov. 11, respectively (see Table 1). The Swift/XRT position is marked with a blue circle. In the left figure, the mm afterglow is highlighted with a brown cross, and a potential host galaxy within the XRT error region with red bars. The possible host galaxy discussed in this work is marked with the magenta ellipse in both figures.