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According to the covariant open superstring description of D-branes in the ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{\mathbf{CP}}^{3}$ background, $1/2$-BPS D2-branes are purely instantonic. Based on this and by taking the eleven dimensional viewpoint, we identify the $1/2$-BPS instantonic M2-brane configurations in the ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{7}/{\mathbf{Z}}_{k}$ background, which reduces to the ${\mathrm{AdS}}_{4}\ifmmode\times\else\texttimes\fi{}{\mathbf{CP}}^{3}$ under the large $k$ limit, and …