To be fired or forced out of a job due to failure or scandal. The "opportunities" to be "pursued" may include crying, applying for unemployment, eating cheetos, and watching daytime talk tv. A close analogue, usually used in politics or sports, is the departure "to spend time with his family."
In the wake of its failure to meet earnings targets, the company announced that its chief financial officer would be leaving to pursue other opportunities and the company was planning to focus on its core competencies.
(Verb) To to push yourself to do something until you've attained it, pursue could also mean to chase something or someone but for a good reason, I hope.