That's very true.
Inflammation is strongly linked to oxidative stress. Many anti oxidants (Astaxanthin, Resveratrol, Turmeric...) can reduce inflammation.
It seems that fracture, tendon and mucosa healing can be inhibited with the use of nonsteroidal anti-inflammatory drugs.
Nothing is sufficiently proven...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3764618/
tendon:
https://www.ncbi.nlm.nih.gov/pubmed/23982408
fracture:
https://www.ncbi.nlm.nih.gov/pubmed/23680778
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4034003/
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4229153/
mucus:
https://www.ncbi.nlm.nih.gov/pubmed/11321515