Muscle recovery after intense exercise involves a sequential process of inflammation and regeneration of muscle tissue. Anti-inflammatories like icing and NSAID may disrupt the normal inflammatory process necessary for regeneration and healing to occur in damaged muscle. These specific strategies target normal inflammation mainly to manage pain. In other words, they promote perceptual recovery and NOT actual biological recovery of muscle.

 What is meant by perceptual muscle recovery is because of the disrupted inflammation and reduced sensation of pain, your brain perceives recovery; however, in reality the muscle is stuck in the inflammatory phase of recovery process. 
The issue with this is that the next training bout or stress is applied on the damaged muscle that has yet to complete the full biological process of recovery/regeneration. 
Unless you are suffering from a musculoskeletal injury with severe or chronic inflammation or is an athlete in season who needs to manage constant inflammation and pain due to repeated stress and damage, there is no need to OVER-emphasize the use of icing, cryotherapy, NSAIDS, or other anti-inflammatory modalities. 

These do not facilitate biological muscle recovery as it blunts the inflammatory phase that precedes regeneration. These do however promote perceptual recovery. What your brain perceives does not always reflect what is actually occurring at the muscle level. So if you are lifting recreationally and can afford sufficient time to naturally recover, there is really no need to adopt all these anti-inflammatory procedures. Facilitating biological/actual recovery from subclinical muscle damage like after heavy lifting can be facilitated by NUTRITION (protein/amino acid intake and hydration) and REST. Provide building blocks for muscle fibers to repair itself while removing further stress to already damaged muscles before it is regenerated/healed. Other modalities like compression to improve blood flow to muscles may be beneficial as a recovery aid as well. Myofascial release.
By Dr.addiejo

Es fundamental como fisioterapeutas tener presente durante el entrenamiento físico las estapas de la reparación tisular, es gracias a este proceso inflamatorio que se producen nuevas fibras y se dan los procesos neutro adaptativos esenciales para la eficacia del entrenamiento de fuerza y potencia.