The Trusted Platform Module (TPM) was designed to provide hardware-based, security-related functions. In this article, we shall discuss this following issue ‘There was an error opening the Trusted Platform Module snap-in: You do not have permission to open the Trusted Platform Module Console”. Please see This device cannot use a Trusted Platform Module, allow BitLocker without a compatible TPM when turning on Bitlocker and how to enable Bitlocker Pre-Boot Authentication via the Group Policy.

TPM is a secure crypto-processor that is designed to carry out cryptographic operations. The chip includes multiple physical security mechanisms to make it tamper-resistant, and malicious software is unable to tamper with the security functions of the TPM.

Also, it is worth noting that, these features; Windows Hello, Fingerprint verification, and critical biometric data store their information on the TPM module. These information can not be stored somewhere else, otherwise, there will be consequences. Here are some related guides you may be interested in. 
- Why does Microsoft require additional system requirements? How to check if you have Secure Boot and TPM enabled, and 
- what is Measured Boot, Secure Boot, Trusted Boot, and Early Launch Anti-Malware: How to secure the Windows 10 boot process.

Permission Issue: Unable to Access TPM Console

The error message indicates you lack the necessary rights to open the Trusted Platform Module Console.

Solution: Ensure you run the TPM Management console as an Administrator.

Note: When encountering the Fixing Trusted Platform Module Snap-In Error, you might encounter a prompt to enter your administrative password. This step is necessary unless you already possess Administrator privileges on the device.

Administrator Privileges Prevent the ‘Fixing Trusted Platform Module Snap-In Error’

In Fixing the Trusted Platform Module Snap-In Error. It’s important to note that access to the TPM module requires administrative rights.

Furthermore, liaising with system administrators for essential permissions in TPM device administration in a domain environment is advisable.

Note: Encounter the “Fixing Trusted Platform Module Snap-In Error” by accessing your system’s BIOS or UEFI if TPM isn’t enabled. Within the security section, ensure to Enable TPM for a potential resolution.

Ensure your device is restarted afterwards.

Here is an article describing the process “How to clear, enable or disable TPM in Windows via the BIOS or UEFI“. Also, see how to fix your device cannot use a Trusted Platform Module, allow BitLocker without a compatible TPM.

I hope you found this blog post on “There was an error opening the Trusted Platform Module snap-in: You do not have permission to open the Trusted Platform Module Console”‘ helpful. Please let me know in the comment session if you have any questions.