The Hawks released him after the Series and the Tigers picked him up to be a setup guy for their bullpen for the 2020 season. Less than a month into the season he had replaced Kyuji Fujikawa as the team’s closer and he ultimately led the Central League in saves with 25. He also went 3-1 with a 2.24 ERA in 51 games. He and his brother Albert of the Tokyo Yakult Swallows made NPB history on October 19th when they became the first two gaijin brothers to appear in the same game. Suarez followed up with an even better season in 2021, going 1-1 with a minuscule 1.16 ERA in 62 games while leading the CL in saves again, this time with 42.
Suarez apparently signed his deal with the Padres before the lockout started so he's got a contract for 2022 - assuming there is a 2022 MLB season of course - unlike former Fighter and Hawk Nick Martinez who's contract with the Padres did not get completed in time and is in limbo.
Almost all of Suarez's baseball cards in Japan are from BBM. His first card was #012 in BBM's 2016 1st Version set and he appeared in the 2nd Version set that year as well. His other BBM flagship appearances were 2017 1st Version, 2020 Fusion and both 1st and 2nd Version in 2021 (and I expect him to have a "Title Holder" card in the Fusion set when it comes out in a few weeks). He also appears in the Hawks team sets from 2016 to 2019 and the Tigers team sets from 2020 and 2021. His only Calbee card appears to be a "Title Holder" insert card from the 2021 Series One set and his only Epoch cards are from the 2021 Tigers Rookies & Stars set (both a base card and an insert card). Here's several of his cards (all BBM ones):
|2016 BBM 1st Version #012|
|2017 BBM Hawks #H32|
|2019 BBM Hawks #H36|
|2020 BBM Tigers #T35|
|2020 BBM Fusion #TH20|
|2021 BBM 1st Version #199|
One last thing about Suarez - did you notice something odd about his uniform number with the Hawks? He wore #90 which the team at one point had retired for Yasutake Kageura, the protagonist of the manga Abu-san. Not sure why he wanted that number - especially since he didn't take it with the Tigers. Apparently the Hawks had un-retired the number when the manga ended in 2014.