As it states in Tehillim 150:6:

כֹּל הַנְּשָׁמָה, תְּהַלֵּל יָהּ: הַלְלוּ-יָהּ. (Kol Han'shamah t'halel Yah! Hallelu Yah!)

It very clearly specifies "everything that breathes" so animals are certainly included in this obligation. But, the majority of animals do not have the linguistic capability of articulating all the phonemes of Hebrew. (Although dogs might not have difficulty pronouncing "baaaaaaRUCH", I don't think I could say as much for other words!)

How can animals incapable of speaking Hebrew praise God as they are commanded?

This question is Purim Torah and is not intended to be taken completely seriously. See the Purim Torah policy.

Due to their limitations of speech, Animals have a custom to only pray the silent Amidah.

See this answer that indicates that sign language is a valid form of communication in halacha. (On a serious level, my son is deaf, and I have attended many Shabbatonim and events where davening is done almost exclusively using sign language. There are quite a number of halachic articles on this topic.)

Almost all animals emit various forms of sign language. A dog wagging its tail is usually happy. A cat that crouches and has its ears pointed indicates fear and defense. There are numerous ways that each animal can pray using its own sign language. This is not a problem.

On a slightly serious note - doesn't Pereke Shira convey the idea that all animals sing praises to G-d each day? How are they doing this?