It doesn't matter how well you deliver feedback: If you won't listen to critiques about your own work, you'll never grow (not to mention, you'll make yourself pretty unapproachable). People will not only be less inclined to work with you, but they also may discount your advice in return.
In "Thanks for the Feedback: The Science and Art of Receiving Feedback Well," authors Douglas Stone and Sheila Heen walk through the challenges of receiving feedback. For example, when you hear constructive criticism, your initial gut response is often to say, "You're wrong." But being defensive won't help you grow.
Develop it: Listen attentively
Instead of insisting the other person is wrong, Stone and Heen suggest a different tact: "That's interesting. I would like to understand more about why we see this differently." By asking for specifics, you can get to the root behaviors and observations leading to their judgment.
Now, often in feedback conversations, two or more topics pop up. Don't try to tackle everything at once.
For example, let's say you walk into your manager's office and receive this onslaught:
I just wanted to chat with you about that project you're working on. You're behind schedule, and I'm concerned that it's not headed in the right direction.
There are actually two issues here. First, there's the pace of the project. Second, there's the overall direction. Trying to tackle these at the same time means each could get short shrift. Instead, when you notice this happening in conversation, use this line from Stone and Heen's book:
I see two related but separate topics for us to discuss. They are both important. Let's discuss each topic fully but separately, giving each topic its own track.
When you say this — and then actually listen — you'll impress your co-workers with your ability to both hear and incorporate their feedback.