The Angels are interested in acquiring Angels third baseman Aramis Ramirez, according to Ken Rosenthal on Twitter. Ramirez has stated he will not waive his no-trade clause under any circumstances, in large part because he has family in Chicago, but the move could be good for both sides going forward given the circumstances.
Ramirez is in a walk year and likely won't return next season, despite his mid-season hot streak. Ramirez is hitting .300 with 16 home runs and a .346 on-base percentage, meaning he would bring back a nice return if the Cubs were willing to pay most of his remaining salary.
The only reason I would see Ramirez accepting a trade would be because he will likely be somewhere else next season, and he's joining a contender just 4.0 games out of first place. The 33-year old Ramirez could easily sign a two to three year deal if he can stay healthy the remainder of the season, and that could very easily happen with the Angels, who did in fact try to sign him back in 2007.
The Cubs are 13.0 games out of first, and share the second worst record in baseball with the Orioles and Royals. If they traded Ramirez for prospects and essentially (or officially) forfeited the season, it would give them an opportunity to play Jeff Baker, Blake DeWitt, DJ LeMahieu, and Ryan Flaherty around the infield and get a better idea of what they have for the future.