Avago was spun out of HP in 1999 (American). They were acquired by KKR and Silver Lake Partners in 2005 (both American). Listed on the NASDAQ in 2009. Bought CyOptics in 2013 (American). Bought LSI in 2013 (American). Bought PLX in 2014 (American). Bought Emulex in 2015 (American). And finally bought Broadcom in 2015, closing in January 2016 (American). Then they renamed themselves Broadcom. They moved their legal address from Singapore to Delaware in 2017. Sure their current CEO (Tan Hock Eng) was born in Malaysia, but he has been an executive at various American companies for decades.
They are American all the way down.