Coherent elastic neutrino-nucleus scattering (CEvNS) is the dominant neutrino scattering channel for neutrinos of energy \(E_\nu < 100\) MeV. We report a limit for this process using data collected in an engineering run of the 29 kg CENNS-10 liquid argon detector located 27.5 m from the Oak Ridge National Laboratory Spallation Neutron Source (SNS) Hg target with \(4.2\times 10^{22}\) protons on target. The dataset yielded \(< 7.4\) observed CEvNS events implying a cross section for the process, averaged over the SNS pion decay-at-rest flux, of \(<3.4 \times 10^{-39}\) cm\(^{2}\), a limit within twice the Standard Model prediction. This is the first limit on CEvNS from an argon nucleus and confirms the earlier CsI non-standard neutrino interaction constraints from the collaboration. This run demonstrated the feasibility of the ongoing experimental effort to detect CEvNS with liquid argon.