To check if your name change request in your ICAI profile has been approved, you can follow these steps:

1. Visit the ICAI Website
- Go to the official website of the Institute of Chartered Accountants of India (ICAI) at www.icai.org.

2. Login to your Account
- Log in to your account using your credentials (registration number and password).

3. Check Notifications
- Look for any notifications or updates regarding your name change request in your profile.

4. Contact ICAI Support
- If you do not see any updates on the website, you can contact ICAI support through email or phone to inquire about the status of your request.

5. Check your Profile Details
- After logging in, navigate to your profile section and check if your name has been updated as per your request.

6. Wait for Confirmation Email
- ICAI may also send you a confirmation email once your name change request has been approved.

7. Follow up if Needed
- If you haven't received any notification or update after a reasonable amount of time, follow up with ICAI to ensure that your request is being processed.
By following these steps, you can stay informed about the status of your name change request in your ICAI profile. Always ensure to keep your contact information updated to receive any important notifications regarding your account.