Edit -- just saw your comment about the performance problems associated with a potentially bad piece of input data. I don't know offhand how try/catch on parseInt compares to a regex. I would guess, based on very little hard knowledge, that regexes are not hugely performant, compared to try/catch, in Java.
Anyway, I'd just do this:
public Integer tryParse(Object obj) {
Integer retVal;
try {
retVal = Integer.parseInt((String) obj);
} catch (NumberFormatException nfe) {
retVal = 0; // or null if that is your preference
}
return retVal;
}