The 29-year-old right-hander spent the first six and half years of his career in Chicago pitching for the Cubs, before being traded to the Oakland Athletics during last July’s trade deadline.
Samardzija’s value has never been higher, and he is one year away from free agency.
He is coming off a career year in 2014 in which he pitched 220 innings over 33 starts.
He finished with a 2.99 ERA, a 4.7 K/BB ratio and a 3.30 FIP. He held right-handed batters to a .228 average, and left-handed hitters hit just .241 against him.