We investigate the pluriclosed flow on Oeljeklaus–Toma manifolds. We parameterize left-invariant pluriclosed metrics on Oeljeklaus–Toma manifolds, and we classify the ones which lift to an algebraic soliton of the pluriclosed flow on the universal covering. We further show that the pluriclosed flow starting from a left-invariant pluriclosed metric has a long-time solution which once normalized collapses to a torus in the Gromov–Hausdorff sense. Moreover, the lift of to the universal covering of the manifold converges in the Cheeger–Gromov sense to , where is an algebraic soliton.