We examined whether significant constraints on matter-antimatter admixture can be derived from gamma-ray observations of colliding clusters of galaxies with Fermi-LAT. We selected ten known systems of colliding clusters of galaxies for the analysis and computed the upper bounds on matter-antimatter admixture in these systems, which range from $7\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}9}$ to $2\ifmmode\times\else\texttimes\fi{}1{0}^{\ensuremath{-}6}$. This allowed us to exclude a symmetric universe on scales of order $\ensuremath{\sim}20\text{ }\text{ }\mathrm{Mpc}$ at the confidence level of 99.9%. Adopting the number of systems of colliding galaxy clusters from the Marenostrum Universe cosmological simulation, we checked if the Fermi-LAT second source catalog contains a sufficient number of gamma-ray sources to provide us with the required number of sources possibly associated with $p\overline{p}$ annihilation from cluster-anticluster collisions. We found that a matter-antimatter-symmetric universe is strongly ruled out on scales of order $\ensuremath{\sim}20\text{ }\text{ }\mathrm{Mpc}$ if a matter-antimatter admixture in these bullet-like systems is of $f\ensuremath{\gtrsim}1{0}^{\ensuremath{-}5}$, and on scales of order $\ensuremath{\sim}400\text{ }\text{ }\mathrm{Mpc}$ if $f\ensuremath{\gtrsim}1{0}^{\ensuremath{-}4}$.