On top of what Megan said about meditation, try these options. Lucid dreaming is a really good one!
Ritual: Your ritual can simply be to light candles, incenses and write a note asking your power animal to come to you. Or, you can even write why you need their help. For example, you can write to the bear to ask for his/her strength, or the wolf for his/her inner wisdom.
Use your words: As with prayers, you can ask your power animal for help by using words. You can create your own prayer or call it the way you feel at that time, for example: “Help me, fox, I need your cunning to get out of this situation.”
Divinations: If you are used to reading Tarot or Oracle cards, you can try a new deck and see if it helps you find your spirit animal. One such deck is The Spirit Animal Oracle: A 68-Card Deck and Guidebook 
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