The way this is usually done is by tracing the pointer chain from a static variable up to the heap address containing the variable in question. For example:
struct CharacterStats
{
int health;
// ...
}
class Character
{
public:
CharacterStats* stats;
// ...
void hit(int damage)
{
stats->health -= damage;
if (stats->health <= 0)
die();
}
}
class Game
{
public:
Character* main_character;
vector<Character*> enemies;
// ...
}
Game* game;
void main()
{
game = new Game();
game->main_character = new Character();
game->main_character->stats = new CharacterStats;
// ...
}
In this case, if you follow mikek3332002's advice and set a breakpoint inside the Character::hit() function and nop out the subtraction, it would cause all characters, including enemies, to be invulnerable. The solution is to find the address of the "game" variable (which should reside in the data segment or a function's stack), and follow all the pointers until you find the address of the health variable.
Some tools, e.g. Cheat Engine, have functionality to automate this, and attempt to find the pointer chain by themselves. You will probably have to resort to reverse-engineering for more complicated cases, though.