It's possible to display a list of chosen issues at Company or Contact card.
These settings can be done by Administrator.
Take following steps to add issues list to Company card:
In case you delete JIRA User from Company card, all issues reported by this user will disappear from company's issues in Company card. To not to lose issues from the list you should make JIRA User Inactive in Administrators Menu/ User Management. The issues remain in Company card and (Inactive) appears next to user's name. That means that inactive user no longer has access to JIRA, CRM and company's issues.