The trade market for Iglesias is a tricky one. Opposing teams already know that the Tigers are not invested in him long-term. Plus, his $5+ million salary is pretty steep for a shortstop who posted a 71 wRC+ last season.
Additionally, any team that makes a move for Iggy likely is viewing him as a backup, which makes him a very expensive utility infielder.
As such, a trade market for Iglesias likely will not bring back much in terms of prospect capital, unless the Tigers are willing to eat part of his contract. Considering they are already hesitant to meet his asking price, that seems unlikely.
The Padres have one of the better farm systems in all of baseball. If they are unable to land a utility infielder who can play shortstop, they could part with a fringe top-30 prospect in exchange for Iglesias. A few options:
Hudson Potts: An 80-grade name, the Padres took Hudson Potts 24th overall in 2016, luring him away from Texas A&M. Potts played shortstop in high school but shifted over to third base in the minors. He has a compact right-handed swing and a lot of power, smacking 20 home runs in Single-A last season. Strikeouts are a concern, but the 19-year-old has the potential to be an impact middle-of-the-order hitter in the future.
Eguy Rosario: Rosario is an 18-year-old middle infield prospect that the Padres signed way back in 2015. He made it up to Single-A last season, stealing 17 bases in just 50 games. He profiles more as a second baseman at the higher levels, although he has experience at shortstop as well.
Mason Thompson: Thompson is a 6’7 right-hander who was throwing 94 mph as a sophomore in high school before Tommy John surgery limited him. Still, the Padres gave him $1.75MM dollars to sign with them out of high school. Injuries have cropped up for him in the minors as well, but the big right-hander has tantalizing potential and still checks in as the Padres No. 19 prospect despite only throwing 39 professional innings. At 19 he is very much a project, but the potential is there.
Realistically, the Tigers may hold onto Jose Iglesias until the trade deadline. However, if the Padres come calling it would behoove the Tigers to at least listen in. They could acquire a young prospect and shed some salary while getting rid of a player who does not figure to be part of the future in the Motor City.