  We demonstrate that a Meijer-G-function-based resummation approach can be
successfully applied to approximate the Borel sum of divergent series, and thus
to approximate the Borel-\'Ecalle summation of resurgent transseries in quantum
field theory (QFT). The proposed method is shown to vastly outperform the
conventional Borel-Pad\'e and Borel-Pad\'e-\'Ecalle summation methods. The
resulting Meijer-G approximants are easily parameterized by means of a
hypergeometric ansatz and can be thought of as a generalization to arbitrary
order of the Borel-Hypergeometric method [Mera {\it et al.} Phys. Rev. Lett.
{\bf 115}, 143001 (2015)]. Here we illustrate the ability of this technique in
various examples from QFT, traditionally employed as benchmark models for
resummation, such as: 0-dimensional $\phi^4$ theory, $\phi^4$ with degenerate
minima, self-interacting QFT in 0-dimensions, and the computation of one- and
two-instanton contributions in the quantum-mechanical double-well problem.
