Ken Rosenthal of Fox Sports first reported the news on Sunday, which the Rangers confirmed on Monday morning.
On Friday, Rosenthal reported the Rangers contacted Desmond about potentially playing left field, adding that money was "an issue" for the team. Rosenthal added the price for Desmond "would include [the] No. 19 pick."
Desmond had a bit of a down year at the dish with a career-low .233 batting average in 2015, but he has missed only 18 regular-season games over the past three seasons and plays a key position in the infield.
Desmond made a whopping 27 errors and has had at least 20 in four of the past five seasons. That has to be at least part of the reason the 30-year-old was signed so late in the offseason.