We all make mistakes. I've probably made hundreds today alone, but that doesn't mean I'm messing up or failing. I'm simply learning. How we perceive outcomes and how we learn from our mistakes defines who we are as professionals, athletes, enthusiasts and as people.
You can chose to win or lose, or to win and learn. Making yourself coachable means you won't ever lose and will always learn from those mistakes if you are surrounded by those who support your growth. Take on that criticism, nurture how you can improve and come out the other side a better person than you were the day before.
Improving professionally is all about taking steps out of your comfort zone, taking on that new responsibility, taking that new job, taking a leap of faith. Sure, we might make some mistakes but being coachable means being a better you in the future.
A person who is coachable not only responds well when given feedback, they ask for feedback. They view the input from others as a valuable tool in their development. They also are willing to take actions and make personal changes based on the feedback.