For those who don't have time to refactor the code to replace arrays with Collections (for example ArrayList), there is an alternative. Unlike Collections, the length of an array cannot be changed, but the array can be replaced, like this:

array = push(array, item);

The drawbacks are that

• the whole array has to be copied each time you push, and
• the original array Object is not changed, so you have to update the variable(s) as appropriate.

Here is the push method for String:
(You can create multiple push methods, one for String, one for int, etc)

private static String[] push(String[] array, String push) {
    String[] longer = new String[array.length + 1];
    for (int i = 0; i < array.length; i++)
        longer[i] = array[i];
    longer[array.length] = push;
    return longer;
}

This alternative is more efficient, shorter & harder to read:

private static String[] push(String[] array, String push) {
    String[] longer = new String[array.length + 1];
    System.arraycopy(array, 0, longer, 0, array.length);
    longer[array.length] = push;
    return longer;
}

I was facing with this problem some time ago and I found java.util.LinkedList is best for my case. It has several methods, with different namings, but they're doing what is needed:

push()    -> LinkedList.addLast(); // Or just LinkedList.add();
pop()     -> LinkedList.pollLast();
shift()   -> LinkedList.pollFirst();
unshift() -> LinkedList.addFirst();

Before Java 8, an even more simplified way is to use Arrays.copyOf(int[], int):

private static int[] push(int[] array, int value) {
    int[] result = Arrays.copyOf(array, array.length + 1);
    result[array.length] = value;
    return result;
}

Java 8's IntStream gives you a way to have only a single return statement:

private static int[] push(int[] array, int value) {
    return IntStream.concat(Arrays.stream(array), IntStream.of(value)).toArray();
}

Small tip: Since you are pushing a new value to the end of the array, you may want to consider reordering the method parameters so that the incoming value is indeed to the right of the array.