In my experience, most of the projects have two types of issues: technical and non-technical. The project manager should assign a technical resource, such as the lead developer, to respond to any technical issues. While for the non-technical issue, the project manager should assign a resource who is comfortable in handling the non-tech issues, such as a supervisor, to manage the status meeting, collect weekly reports, client meetings, etc.. If a meeting is important, then the project manager can attend the call virtually.
Upon returning, the project manager should hold a meeting that briefly describes the progress against the project plan, and identify gaps and risk. If the project is on schedule and within the budget, then great!! Otherwise, the project manager should develop the strategies to overcome the gaps, and mitigating the risk for the project is back on track.