Albeit power grids evolve to be smarter, major extreme events still pose reliability and resilience challenges, mainly at the distribution level due to increased vulnerabilities and limited recovery resources. Information and communication technologies (ICTs) introduce a new set of vulnerabilities, widely examined in the literature, like remote device failures, communication channel disturbances, and cyber attacks. However, very few studies explored the opportunity offered by communications to improve the resilience of power systems and move away from viewing power-telecom interdependencies as a threat only. This paper proposes a communication-aware distribution system restoration (DSR) methodology, which leverages power-telecom interdependencies to find optimal restoration strategies. The state of the grid-energized telecom points is tracked to inform the best restoration actions, which are enabled via resilience resources of repair, manual switching (MS), remote reconfiguration, and distributed generators (DGs). As the telecommunication network coordinates the allocation of those resilience resources due to their coupling, different telecom architectures are introduced to investigate the contribution of private and public ICTs to grid management and restoration operations. The system restoration takes as input the configuration after the remote fast-response to formulate the problem as a mixed integer linear program (MILP). Results from numerical simulations highlight the enhancement in the DSR process brought by telecom-aware recovery and co-optimization of resilience resources, while quantifying the existent disparity between overhead and underground power line configurations.