It’s understandable to be confused about what you saw. Sperm themselves are microscopic, which means they are too small to see with the naked eye. What you might have observed moving in the toilet could be due to several factors.
After ejaculation, sperm is mixed with seminal fluid, which helps them travel. This fluid can sometimes appear to move or swirl due to its consistency and how it interacts with the water. The movement you saw might be the result of the way the semen is interacting with the toilet water, rather than the sperm moving on its own.
While sperm are too tiny to be seen without a microscope, the overall mixture of semen can have different visual effects. For more information on sperm and their visibility, you can refer to WebMD’s overview of sperm function and Healthline’s article on sperm.
Sperm are too small to be seen with the naked eye. The movement you saw might be due to the way semen interacts with water in the toilet.