  A collection $\{\bar{B}(x_n,r_n)\}_{n\ge 1}$ of pairwise disjoint balls in
the Euclidean space $\R^d$ is said to be avoidable with respect to a transient
process $X$ if the process with positive probability escapes to infinity
without hitting any ball. In this paper we study sufficient and necessary
conditions for avoidability with respect to unimodal isotropic L\'evy processes
satisfying a certain scaling hypothesis. These conditions are expressed in
terms of the characteristic exponent of the process, or alternatively, in terms
of the corresponding Green function. We also discuss the same problem for a
random collection of balls. The results are generalization of several recent
results for the case of Brownian motion.
