Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) said that Dhu'ayb Abu Qabisah said that the Prophet (peace and blessings be upon him) used to send sacrificial camels with him and would say: "If any of them becomes exhausted and you fear it will die, slaughter it, then dip its sandal in its blood and strike its side with it, but do not eat of it yourself, nor feed any of your companions."
Imam al-Shafi'i (may Allah have mercy on him) said: However, I dislike that a polytheist should slaughter any of the sacrificial animals.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الضحايا / 19165