There are two things to keep in mind if you want to be innovative
Understand the constraints.
"If you have $20 in your pocket and need to travel 300 miles because you HAVE to be in New York City by midnight, you will get pretty creative." (paraphrasing David Allen-Getting Things Done Fast)
Constraints are the material, financial or social restrictions imposed on us by the outside world. Bypassing constraints are far and away the best way to innovate. It may be the only way. If we can't acquire a particular material can we use another? If we don't have enough money to do something, can we find a cheaper way to get the same thing done for less? How can we get social buy in for something is not yet accepted or understood? Wikipedia defines innovation as the application of better solutions that meet new requirements, unarticulated needs and existing market needs. Understanding constraints is a way of understanding what better means.
Recognize inefficiency and technological advancement.
These are two drivers that provide opportunities for bypassing constraints. Perhaps they are one but they appear to me as two sides of the same coin. At some point any venture that ever existed was mapped out by individuals to the best of their ability. The venture functioned at an acceptable level and it worked. Because it works it gains momentum and there is no reason to change how it works. Over time though new technology is developed that makes the old venture more and more obsolete. It takes creativity to recognize what are now new constraints and find better ways of accomplishing the goals of the original venture.
Welcome any and all ideas.
When brainstorming, don't be afraid of a bad idea. In fact encourage bad ideas because you need to fearlessly free up your brain in order to come up with a good idea. Of course it takes skill and wisdom to be able to recognize the good ideas from the bad. That wisdom comes from exposure to observations of the world that are outside the sphere of your own comfort zone.