The MLB said Cora was an "active participant" in the Houston Astros' sign-stealing scheme.
Boston is accused of using video signals to decode opposing catchers' signs in violation of MLB rules.
The former Red Sox champion discussed why he would have skipped a White House visit, backing team manager Alex Cora's decision to do the same.
All of the Boston team's white players visited President Donald Trump on Thursday, while nearly every black and brown player chose to skip the ceremony.
“The government has done some things back home that are great, but we still have a long ways to go," Alex Cora said.
The tradition of sports champions visiting the White House has become highly politicized under Trump.
"I won't be going there," the right fielder declares.