President Nicolas Sarkozy, who has been known for his own roving eye, kept his glance on the politics of the matter, with a presidential election next year. He fired Mr. Tron within two days.
I can see how the excitement of pairing the roving eye with the fixed gaze overwhelmed the writer's good sense, but "kept his glance on the politics" will not do. A "glance" cannot be "kept." He kept his "gaze" on the politics. Un coup d'oeil n'est pas un regard.