I have argued before that I really don't see why pet owners should not have the right to try to claim emotional distress due to the deaths or injuries to their pets (see here, here and here) and there are a few cases out there that have recognized these types of claims, (See here for example.).
The Statesman.com is reporting today that the Texas Supreme Court will decide whether the owners of a dog accidentally
euthanized by the Fort Worth pound can sue for the sentimental value of
the family pet or merely for the replacement value of the mixed-breed