Here is a solution without recursion:

const myObj = {
    a: {
        b: {
            c: "I'm the target"
        }
    }
}
const keys = ['a', 'b', 'c'];

let result = myObj;
for (const key of keys) {
    result = result[key];
}
console.log(result);

Or with recursion:

const finder = (obj, keys, index = 0) => {
    const result = obj[keys[index++]];
    
    if (!result) {
        return obj;
    }
    return finder(result, keys, index);
}

console.log(finder(myObj, keys));

This is pretty similar to Accessing nested JavaScript objects and arrays by string path, except with one fewer step - you already have the keys you need in the form of an array. .reduce and access the next nested value in each iteration.

const obj = {
  metadata: {
    correlationId: 'b24e9f21-6977-4553-abc7-416f8ed2da2d',
    createdDateTime: '2021-06-15T16:46:24.247Z'
  }
};
const keys = ['metadata', 'correlationId'];

const result = keys.reduce((a, key) => a[key], obj);
console.log(result);

This is my idea to solve your problem. Tell me, if is ok for you.

let x = {
  metadata: {
    correlationId: 'b24e9f21-6977-4553-abc7-416f8ed2da2d',
    createdDateTime: '2021-06-15T16:46:24.247Z'
  }
}

let fun = x => typeof x === 'string' ? console.log(x) : Object.keys(x).map( y => fun(x[y]));

fun(x);