Pato, formerly of AC Milan and Chelsea, has scored 10 goals in 14 league games this season, but with last weekend's victory a first in seven games for Tianjin, coach Paulo Sousa is under pressure.
There were suggestions that Oscar ruined his chances of playing again for his country when he moved to China.
Carrasco had started just three times in La Liga since the turn of the year and Gaitan only once this entire season under coach Diego Simeone.
Tevez arrived in Shanghai to a hero's welcome but sneaked out of China less than a year later and has now sealed a return to Boca Juniors.
The World Cup winner was linked with a move to the boardroom of AC Milan, where he is a popular figure since his playing days.