The Scotsman left the club by mutual agreement today just six months after replacing the Spaniard at the DW Stadium.
"In football you get that sort of situation where if the results don't go right they are going to take big decision," BBC Sport quotes Martinez as saying.
"All I want is the best for Wigan. I always keep a close eye on them and I hope everything can have the effect that is needed.
"Owen worked really hard to try to achieve promotion and now the change has been confirmed hopefully everything works for the best for the football club."
The Latics, who were relegated to the Championship at the end of last season, are currently 14th in the league table.