The most important tool you have in your job search is owning your story, and being able to explain why the Nanodegree Program was the right next step for you. Give some thought to that question, and build it into your larger professional narrative about your interests in technical challenges, how you like to work, the sorts of problems you like to solve, etc.
You should never assume that an employer understands why a Nanodegree Program or another professional choice applies to their organization -- you should put yourself in the mindset of that recruiter or manager, and explain in concise terms why the Nanodegree program is applicable to their technical needs.
If an employer asks you about your Nanodegree program, It’s great to emphasize the challenging nature of the program, and the commitment it takes to complete it. Employers are consistently impressed by the resilience it takes to complete a Nanodegree program, and you should own that success!