On September 28, Martínez won his 100th game for the Expos, doing so against the Florida Marlins at Joe Robbie Stadium. Martínez threw 7.2 innings while allowing two runs on four hits with six strikeouts and one walk on 105 pitches, but the Expos held on to win with John Wetteland throwing a 1.1 inning save to preserve the 3–2 win for the Expos. In August, the Expos put him on waivers. Three teams put a claim on him, the Atlanta Braves, the San Francisco Giants, and the Philadelphia Phillies, with the Braves doing so in order to try and stop him going to the Giants. The Expos were only willing to let him go to the Braves if they included a player that the team wanted in order to give up Martínez. However, he used his 10–and–5 rights privilege to veto a trade. The team finished 94–68 that year, the best record during Martínez's tenure with the club, although they finished three games back of the Philadelphia Phillies. With the win, he became the seventh pitcher with at least 100 wins in both the American and National leagues, joining Jim Bunning, Ferguson Jenkins, Al Orth, Gaylord Perry, Nolan Ryan and Cy Young; since Martínez, Kevin Brown and Randy Johnson have joined him on the list. Martínez finished his career in the top ten of numerous categories for the franchise, such as wins (2nd behind Steve Rogers), ERA (5th being Tim Burke), innings pitched (2nd behind Rogers), and strikeouts (6th behind Rogers). Martínez entered free agency after the 1993 season ended, and he signed with the Cleveland Indians in the winter. Martínez was named the pitcher for the Opening Day game against the Seattle Mariners on April 4, which happened to be the first regular season game held at Jacobs Field in Cleveland. He pitched seven innings while allowing two runs on three hits with four strikeouts and walks each, with the Indians rallying to win 4–3 in ten innings. The season, he went 11–6 with a 3.52 ERA in 24 games pitched and 176.2 innings. He had three shutouts, the first time he pitched a shutout in a season since 1991. He had 92 strikeouts and 44 walks. He made 11 putouts, 33 assists, two double plays and no errors for a 1.000 fielding percentage, the first time that Martínez compiled the percentage since 1980.