[Your Full Name]
[Your Address]
[City, State, Zip]
[Your Email Address]
[Today’s Date]

Subject: Authorization for International Travel with Minor

Dear Sir/Madam,

I, [Your Full Name], am the legal [mother/father] of [Child's Full Name], born on [Child's Date of Birth]. I reside at [Your Address]. 

I hereby give my consent for my [daughter/son], [Child's Full Name], to travel from Cyprus to Russia with their grandmother, [Grandmother's Full Name], born on [Grandmother's Date of Birth]. The trip is scheduled to take place from [Start Date] to [End Date]. During this period, they will be staying at [Complete Address in Russia where they will be staying].

I understand that this consent includes, but is not limited to, the authorization to travel, the consent to medical treatment, and the authorization to undertake any other activities as may be required. I trust [Grandmother's Full Name] to act in the best interest of my child during this period.

I am providing this letter voluntarily and understand that this letter can be used in the legal context to prove my permission. I am fully aware of the consequences of this declaration.

I can be reached at [Your Phone Number] or [Your Email Address] should any verification be required.

Thank you for your understanding and cooperation.

Sincerely,

[Your Signature]
[Your Full Name]

Attachments: 
- Photocopy of [Your Full Name]'s passport
- Photocopy of [Child's Full Name]'s passport
- Photocopy of [Grandmother's Full Name]'s passport

Please note: This is a basic template for your use, but it may require additional information based on the specific requirements of the countries involved, and potentially even the specific airline if applicable. It's always best to check the most recent requirements with the appropriate authorities or legal advisors before travel.