There are many various ways to promote your YouTube channel quickly and for free. Here are some of the best methods:

1. Use social media platforms like Twitter, Facebook, and Instagram to share your videos and drive traffic back to your channel.

2. Make use of video SEO techniques to improve your ranking in YouTube search results.

3. Write blog posts about your channel and embed your videos in the posts.

4. Create video trailers to promote your channel and individual videos.

5. Participate in online forums and discussion groups related to YouTube, and share your videos with participants.

6. Use a tool like Google AdWords to place targeted ads promoting your channel on YouTube.

7. Leverage the power of influencers to promote your channel to their followers.

8. Submit your videos to online video directories and review sites.

9. Host a contest or giveaway on your channel and promote it through social media and other channels.

10. Organize a live event and stream it on YouTube to promote your channel.

There are many other ways to promote your YouTube channel quickly and for free. By using a variety of promotional techniques, you can increase viewership of your videos and grow your channel audience.