To dream that you are watching a parade indicates that you are being sidetracked or distracted from achieving your goals. You may even be purposely preventing yourself from pursuing your goals and desires because you fear that you will fail. Alternatively, the parade symbolises cycles, passage of time, or a special event in your life. Consider also the symbolism of whatever figures/animals/floats are in the parade. They may reflect a need for you to incorporate these attributes into your own character.
To dream that you are in a parade indicates that you are going along with the masses and with what everybody else wants. Alternatively, the dream indicates that you have a set path in life and know which direction you want to go.