If you want to foster a culture of open ideas, you cannot stand in the way. Do not shoot suggestions down, do not fight back and never stifle the feedback loop. Close your mouth and bite your tongue if you have to. Whatever it takes to let your team know that they are being listened to and that there is room for their ideas. After ideas have been heard, let open debate ensue. Invite extra opinions and open your ears even wider. Make sure opinions are genuinely collected and heard. Show the idea collection process with surveys, emails, whiteboards, etc. if you think it will help your team see and appreciate your reception to their opinions. And do not fear disagreements. Disagreements are healthy – they suggest that ideas are being contributed and tested. As with any relationship, team relationships stand to grow and strengthen through overcoming disagreements.
If you need to make a quick decision and do not have time for collecting feedback, don’t close the deal immediately. Help everyone understand why you feel the way you do and thank them for their understanding. At the very least, it shows you respect their autonomy and the other contributions they make.