I can't seem to find much information about left paralyzed diaphragm anywhere! Can you explain what it means to have this condition?

Injury to nerve . Results from injury the phrenic nerve which supplies energy to the diaphragm. A surgical procedure called diaphragm plication may be needed to improve symptoms.
Many possible causes. A paralyzed diaphragm- or more correctly a paralyzed half or hemi-diaphragm is the inability to move the diaphragm down on one side which is necessary to draw air into that lung. If the diaphragm is not moving , that lung is not working. Viral infections, trauma, cancer, auto-immune diseases and many, many other causes are possible. A board certified pulmonary specialist should be consulted.