PS... You don't want to risk taking something to mask what may or may not be and underling problem...
Men and women have different levels for what is normal for them when it comes to their Hemoglobin. And yes cirrhosis can play a part in this. Before taking anything consult with your Doctor to see what he thinks and if yours is at a level for any concern. Below is a good link from mayo clinic discussing this... Best to you.
http://www.mayoclinic.org/symptoms/low-hemoglobin/basics/definition/SYM-20050760
First, by my Lab measure, 11.5 - 11.9 is no so low, as Normal Range there is 12 - 16. With that in mind, I, personally, would just keep eating a liver friendly diet, Erich in iron building nutrients.
However, by your scale that is a bit lower, so I can understand wanting to take something. However, with cirrhosis, I would hesitate to recommend vitamins or other supplements. The liver friendly diet, does contribute to the health of the liver.
Is a little low on iron normal for someone with cirrhosis?
Have you asked your doctor about this? If so what was the answer?
You might want to ask this question on the Cirrhosis Community.
At any rare, good luck on finding the solution.
Blessings, Pat