Let sick baby cry it out?

My 11mth old baby is sick w a cough and stuffy/runny nose. He cries uncontrollably when he wants to nap. He wont let me hold him either, hed try to get off of me, or slam/arch his back really hard, trying to get off. But when i put him on the ground, or on his bed, he also cries, but he doesnt cry as much as when i hold him. I am at a lost of what to do, it makes me feel frustrated. He cries and screams so much, his throat seems to be getting worst. He only does this when he wants to nap, otherwise, hes playful and crawling/exploring around. Should i just let him cry it out in his crib?