The amount of scientific data to be transmitted from deep-space probes is currently very limited due to RFcommunications constraints. Free-space optical communication promises to alleviate this bottleneck as this technology makes it possible to increase the data rate while reducing the weight, mass and power of communication onboard equipment. Nevertheless, further improvements are needed to optimize the power delivery from the spacecraft to the Earth. This has been also a major issue in RF communications, where the main strategy has been to increase the aperture of ground terminals. Free-space optical communications can also be benefited from this strategy, as it shares the same limitation with RF, i.e. the low power received on the Earth. However, the cost of big telescopes increases exponentially with their aperture, being much bigger than the cost of big antennas. Therefore, new ideas are required to maximize the aperture-to-cost ratio. This work explores the feasibility of using telescopes of the future Cherenkov Telescope Array as optical-communication ground stations. Cherenkov telescopes are used for gamma-ray astronomy, yet they are optical telescopes with some special characteristics. Groundbased gamma-ray astronomy has the same received-power limitation as deep-space lasercom, hence Cherenkov telescopes are designed to maximize the receiver's aperture, reaching up to 30-m diameters, at a minimum cost with some relaxed requirements. Discussions on the critical issues of the reutilization, as well as possible adaptations of the telescopes to optimize them for communications, are presented. Telescopes simulations and numerical computations of several link budgets applied to different worst-case scenarios are discussed, concluding that the proposal is technically feasible and would bring important cost reductions as well as performance improvements compared to current designs for deep-space optical ground stations.