Suazo, expected to lead Chile's attack at the World Cup in South Africa, has moved to Real Zaragoza during a quiet mid-season break in which only one team were busy in the player market.
Cruz Azul, still looking for a first title since 1997 after they lost the Apertura championship final to Monterrey last month, recruited four players including Argentine midfielder Christian Gimenez and Brazilian Edcarlos Conceicao.
"In any big club, like Cruz Azul, there will be pressure, mainly because you're a newcomer and because it's been a long time without a title," Conceicao told reporters.
A significant number of the championship's leading players like forwards Salvador Cabanas of Paraguay and Chile's Hector Mancilla will not feature for the whole duration of the championship if, as expected, they join their countries preparing for the World Cup in the final third of the competition.
"Monterrey have two tasks, to work hard and forget the past, look ahead. We must show that we really want to be double champions," said Apertura title-winning coach Victor Vucetich.
