Office of Grand Ayatollah Khamenei (may Allah grant him long life):
There is no problem in it by itself.
Office of Grand Ayatollah Sistani (may Allah grant him long life):
There is no problem in it.
Office of Grand Ayatollah Makarem Shirazi (may Allah grant him long life):
There is no objection in keeping animals but it is befitting for faithful individuals to have a (rational) purpose behind keeping them.
Office of Grand Ayatollah Saafi Gulpaigani (may Allah grant him long life):
There is no objection in keeping it but the rules concerning purity and offering prayers should be observed. Hence, if wolf hair is with a person, the prayers which he offers would be void. Its excretion and urine are Najis (ritually impure).
Answer of Ayatollah Mahdi Hadavi Tehrani (may Allah grant him long life):
1. There is no problem in it.
2. The excretion of this animal is Najis.
3. Any parts of this animal's body including its fur or wool on a person's body or clothe, will affect his prayers.