A user might be able to see an item appearing in their inventory list but it is not appearing in Global Search. The reason is that the item might have been set to Inactive.
To resolve, the user has 3 options:
Option 1: Make the item active by setting the Inactive checkbox to blank.
Option 2: Enable the Include Inactives in Global & Quick Search preference found when navigating to Home> Set Preferences > Analytics tab> Search section. This allows the searching of inactive records via Global Search.
Option 3: Type in the Item Name and + sign in the Global Search.