The interaction of cosmic-rays with the solar atmosphere can yield neutrinos as final state particles, the so-called Solar Atmospheric Neutrinos (SA$\nu$). Most of these neutrinos are absorbed in the interior of Sun. Neutrinos produced in the solar corona towards the Earth would escape the Sun and reach the Earth. The detection of the solar atmospheric neutrinos would be important to determine the constituents of the primary cosmic rays and the solar composition. In addition, these neutrinos would represent an irreducible source of background for indirect solar dark matter searches. The deep-sea neutrino telescope ANTARES, located in the Mediterranean Sea, is well suited to perform this search. In this work, the results after the analysis of 11 years of ANTARES data is presented. No evidence for a solar atmospheric neutrino signal over the expected background is found. Results in terms of sensitivity and upper limits for different signal models are reported. The obtained upper limit at 90% CL in the solar atmospheric neutrino flux is $7 \times 10^{-11}$ [TeV cm$^{-2}$ s$^{-1}$] at E$_\nu \sim$ 1 TeV.