Could you please tell me if there are any services that offer free hosting for Rust game servers?

One approach is to use a platform like AWS (Amazon Web Services), which offers a free tier for new users. This free tier typically includes limited usage of services such as Amazon EC2, which can be utilized to host game servers. However, it's important to note that usage beyond the free tier limits will incur charges, so monitoring usage is crucial to avoid unexpected costs.

Another option is Google Cloud Platform, which also has a free tier with certain usage limitations. Google Cloud provides services like Compute Engine, which can be used to set up and run game servers for Rust. Similarly to AWS, it's essential to closely monitor resource usage to stay within the free tier limits.

For those specifically seeking hosting providers tailored to gaming servers, there are companies that offer free plans with restrictions on server slots, RAM, CPU usage, and other resources. These free plans are designed to provide an entry-level experience, and users can upgrade to paid plans for additional features and support.
Factors such as server performance, uptime, scalability, and customer support should be evaluated to determine the best fit for the needs of the game server. Additionally, it's advisable to have a contingency plan in case the server outgrows the limitations of the free hosting plan, as transitioning to a paid plan with the same provider or migrating to a different hosting solution may be necessary.

I can say that getting free rental of game servers, especially for games like Rust, is quite unlikely. Typically, you would be required to pay for server rental, although there are some exceptions in the form of a trial period lasting 24 hours or more. Whether such exceptions exist depends on the internal policies of the individual projects.

There are no free hosting services available for such games. All hosting services for these games require payment.
However, if you search carefully, you may be able to find the most cost-effective hosting option for these games.