That should be fine. Post it in the general chat section. We often discourage people from promoting their videos if that's all they do, but you are an active member. Avoid begging people to subscribe and all the usual annoying stuff.
Here is the official rule.
YouTube Rules
Links to YouTube videos are permitted as long as they pertain to the topic.
Just-for-fun or non-fish related videos should be posted in the General Chat forum.
All other forum rules apply to video links. Videos which are false and/or defamatory, inaccurate, abusive, vulgar, hateful, harassing, obscene, profane, sexually suggestive, threatening, invasive of a person's privacy, or otherwise a violation of any law are prohibited.
Commercial advertising videos are prohibited.
Posts made for the purpose of urging fellow members to subscribe to one's YouTube channel will be deleted.