While a PM is an IC, the role as you know is very embedded in to the org i.e. its cross-functional and interfaces both up and down the hierarchy. So opportunities for external / part-time PMs on execution oriented roles are very few overall.
I have seen consulting opportunities for following:
• Product Coaches (for individuals or teams)
• Process Coaches (Agile-Scrum, Customer Development etc)
• Product Strategy for younger companies
• Specialised Experiences (like AI-ML PMs, Regulations in fintech, health-tech, crypto etc)
• Non-techy founding team wants someone to manage both PM /Tech functions as they don’t have background in product development.
As you can see almost all of the roles are for people who have done similar things in the past and have experience. Those are the ones who I was saying as Senior PM.
Overall there are very few side gigs for PMs even in US. India is even more rare. Those few companies which do offer gigs expects 4+hr overlap with EST, PT timezones and expect 20hr/week making things a bit challenging.
Would love for things to change but so is the role and the market.