Should I include Contracting Agency in resume?

I worked in multiple companies under the contractor agency Cognizant. But, I want to leave for a direct-hire position. But, when I applied to other jobs, I left it out because I feel it would ruin my value. I’ve worked for respectable client companies and used that instead. Would this pose issues? my friend done this and he’s alright so far. #apply #cognizant #resume #directhire