  Let $G$ be a locally compact Lie group and $\mathfrak{g}$ its Lie algebra. We
consider a fuzzy analogue of $G,$ denoted by $\mathfrak{G_f}$ called a fuzzy
Lie group. Spherical functions on $\mathfrak{G_f}$ are constructed and a
version of the existence result of the Helgason-spherical function on $G$ is
then established on $\mathfrak{G_f}.$
