Should you remove snail eggs from an aquarium?

First, to get rid of pest snails in aquarium, you must go for the root problem.

There is an increase population of pest snails because there is too much food. You must be feeding the fish (or rather the tank) too much. All the leftover food become a feast for the snails. You must not feed the fish more than once a day, and you only need to feed as much as they can finish within a minute. All leftover fish food must be removed immediately by using either a net, or an aquarium vacuum.

Second, you can manually get rid of pest snails from the aquarium. Remove them by hand, or use a piece of veggie to set a trap for them. Remove the piece of veggie after there are lots of snails on it. Repeat doing that will quickly lower the snail population.

Third, get the snails' natural enemies.

You can get puffer, loach, etc. fish who love to feast on snails. There is also assassin snails who are good at eating other species of snails. All these natural predators will get rid of pest snails for you.

Apply all 3 methods, you will get rid of your pest snails from the aquarium before you know it.