Different ways you can customize your Hangout experience
How to change your Hangout's visibility
Desktop:
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When inside of a Hangout that you created, navigate to the settings panel (gear icon next to the hangout name)
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Select the "Info" tab
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Open the dropdown menu under "Hangout Privacy" and select "Discoverable"
Mobile App:
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When inside of a Hangout that you created, press the hangout name in the top left of the screen
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Select "Hangout" Settings
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Above the "Stage Design" field, you will see your hangout's privacy level. Make sure it is set to "Discoverable"