Forgetting a name right after hearing it isn’t a memory problem. It’s usually a listening one.

Names vanish because they were never taken in. At the moment of introduction most people are managing their own entrance: what to say, where to stand, how they are coming across, and the name slides past unattended. Memory is not the part that failed. Attention is, and attention is the easier thing to adjust.

Repeat the name out loud in your next sentence, then use it once more before the conversation ends. If you miss it, ask again immediately, while asking is still normal. Nobody minds being asked twice in the first minute, and everybody notices being remembered later.