Managing communications, deadlines, and approvals with influencers across different time zones can be tricky, but with proper planning, technology, and clear communication, it can effectively be done. Here are a few strategies you should consider:

1. Define Expectations Early: Inform influencers about delivery deadlines and communication timings in the very beginning. Be mindful of their time zone when setting these expectations.

2. Use Project Management Tools: Platforms such as Trello, Asana, and Monday.com allow everyone to see tasks, deadlines, and project status in real time. By integrating these into your workflow, it can simplify cross-time zone collaboration.

3. Leverage Communication Platforms: Tools such as Slack can facilitate instant messaging across time zones and ensure everyone is up-to-speed.

4. Automated Approval and Reporting: Influencer marketing platforms like Flinque allow automated content approval and reporting. The post can automatically be published once it gets approved, regardless of time zones.

5. Batch Communication: Avoid sending multiple emails or messages. Instead, consolidate all required information in a batch and send it all at once. This helps reduce the back and forth dialogue.

6. Regular Check-ins: Regularly scheduled meetings can help maintain transparency, alignment, and ensure any issues are addressed promptly.

7. Scheduling Tools: Using tools like Buffer or Hootsuite can simplify the post scheduling process and avoid any confusion about when content needs to go live.

Remember that every project is different, and the right combination of these strategies will vary based on specific requirements and the team you’re working with. The key is to set clear expectations, communicate effectively, and have the right tools in place to manage project execution across different time zones.