The Patriots haven't made any kind of statement about Tom Brady's four-game suspension since the Second Circuit ruled to have it reinstated earlier this week. They did make a statement showing support for their quarterback just before the start draft, though.
In the moments leading up to commissioner Roger Goodell's announcement that the Rams were "on the clock" with the first pick of the first round, the Patriots posted an image of Brady's jersey to their Instagram account.
The image is the same one that the Patriots have used as their profile photo on Twitter for much of the duration of the Deflategate saga. The team has no first-round pick (No. 29) as a result of the punishment issued by the league due to Deflategate. The team was also docked a fourth-round pick in 2017 and $1 million for the alleged ball-deflation scheme.
Patriots coach Bill Belichick and director of player personnel Nick Caserio have the ability to trade into the first round, but if they do, they will make their selection with the lower of their two first-rounders. Therefore they cannot make a selection before pick No. 29.