Answered by Mike, Hiring Expert at Avery Dennison Corporation, on Thursday, May 9, 2019
Actually, as someone with a similar challenge, I understand where you are coming from.
First and foremost, I wouldn't change your resume on behalf of your stutter. It has nothing to do with your accomplishments, experience, accolades, etc., so it shouldn't belong on there.
Usually after a resume review, the next step in the process is a phone interview. I would recommend going through the phone interview and answering the questions the best you can. If you feel that your stutter somehow impacted your interview, feel free to address it at the conclusion of the call. Let the hiring manager know that despite your stutter, you are very capable of communicating as necessary for the job, and point to accomplishments that you've done in the past that can call out your ability to work with others in a collaborative environment.
Also helpful would be sending up a follow up message to point out that your written communication skills are still on point and not an issue.
If you feel that your stutter is really impacting your ability to have an effective interview, I would also recommend asking for an accommodation in the interview process. This might mean communicating via a chat program, or even using pre-recorded video interviews. Most larger companies should have access to different technology to accommodate these requests.
Good luck on your job search!