Amazon’s review rules are strict, so your approach needs to be innovative and 100% compliant. Here’s what works:
Use the “Request a Review” button.

This is built into Seller Central, which sends your customers an official review request from Amazon. It’s straightforward, automated, and compliant. Go to the Order Details page, hit the button, and you’re done.
Send polite follow-up messages.

You can send a personal, professional note through Amazon's Buyer-Seller Messaging. Keep it short and non-pushy, like:

“Hi [Name], I hope you’re loving [product]! If you have a moment, we’d greatly appreciate it if you could share your experience with a review. Your feedback helps us improve. Thank you!”

Avoid asking for positive reviews specifically—that’s against Amazon’s policies.

Focus on verified purchases.

Ensure your listings are clear, accurate, and appealing so customers feel confident buying directly from you. The better their experience, the more likely they’ll leave a verified review.