You can mention the conversation if it genuinely changed or sharpened why you are interested in that firm or office. The reference should add substance, not just name-drop.

A weak version says you spoke with a consultant and were impressed. A stronger version connects one specific insight from the conversation to your reason for applying.

For example, you might mention learning how analysts in that office rotate across healthcare and consumer projects, if that detail is accurate and relevant to your interests.

Keep the reference brief and make the cover letter stand on its own. The consultant's name should support your motivation, not become the reason you deserve an interview. If you mention the consultant, spell the person's name correctly and avoid implying they endorsed your application unless they explicitly did so. For more detail, see the consulting coffee chat guide.