We give a simple proof of the non-existence of limit E-Brody curves, in the sense of Do Duc Thai, Mai Anh Duc, and Ninh Van Thu, for a class of manifolds including $\mathbb {C}^{n}$ and $(\mathbb {C}^{\ast })^{2}$ which were studied by these authors in Do et al. (Kyushu J. Math 69(1) 2015), by constructing a suitable holomorphic interpolation function.