The NFL will return to Los Angeles. Yesterday, the NFL owners gave approval to the St. Louis Rams to move back to L.A. after a 21-year absence. A new stadium is to be built on land in Inglewood owned by Rams owner Stan Kroenke. The new stadium, which is purportedly to be built entirely with private funds, is expected to be ready in 2019. Where the Rams will play until then is anyone's guess, but I would guess the L.A. Coliseum would be their temporary home.
The NFL has also given their blessing to the San Diego Chargers to move to L.A. and share the new facility with the Rams. The Oakland Raiders had also applied to relocate to L.A. The Raiders, of course, called L.A. home from 1982 to 1994. The late Al Davis infamously moved the team from Oakland to LA without NFL approval. The Raiders returned to Oakland in 1995, but are now looking to pick up stakes yet again.
As for the Rams, prior to moving to the Midwest in 1995, the Rams had played in L.A. for nearly half a century. The Los Angeles Rams had won 2 NFL championships and had one Super Bowl appearance.