You can add multiple asset custom fields to any screen you want for JIRA and JIRA Service Desk.
JIRA
- View Issue Screen
- View Issue Screen - Asset detail popup
- View Issue Screen - Inline edit asset custom field
- Create/Edit Issue Screen - filtering, searching and multiple values are supported
JIRA Service Desk
- Asset custom field on JIRA Service Desk customer portal create request screen
- Asset custom field on JIRA Service Desk customer portal request view screen.
Asset custom field is searchable auto-complete and a multi-select field type.