cin for an int inputing a char causes Loop that is supposed to check input to go wild

When an error occurs when reading from a stream, an error flag gets set and no more reading is possible until you clear the error flags. That's why you get an infinite loop.

cin.clear(); // clears the error flags
// this line discards all the input waiting in the stream
cin.ignore(std::numeric_limits<std::streamsize>::max(), '\n');

Also, it's wrong to use the results of input operation if you don't know whether the read succeeded in the first place. You can't make assumptions about the value of iAuswahl. That's one of most often made errors by newbies using streams. Always check if the input operation was ok. This is most easily done by using operator>> in boolean context:

if (cin >> some_obj) {
    // evaluates to true if it succeeded
} else {
    // something went wrong
}

And, my oh my, this line

while (iAuswahl != 1 && iAuswahl != 2 && iAuswahl != 3 && iAuswahl != 4 && iAuswahl != 5 && iAuswahl != 6 && iAuswahl != 7 && iAuswahl != 8 && iAuswahl != 9)

can be just this:

while (iAuswahl < 1 || iAuswahl > 9)

A correct loop could look something like this:

while (true)
{
    if ((cin >> iAuswahl) && (iAuswahl >= 1) && (iAuswahl <= 9)) break;
    std::cout << "error, try again\n";
    cin.clear();
    cin.ignore(std::numeric_limits<std::streamsize>::max(), '\n');
}

You need to clear error flag after reading wrong type, otherwise cin will refuse to read anything, as it will be in the invalid state. Also, you need to ignore that character that was not read by cin, because it will stuck you into a forever loop because it will always try to read from that character.

while (iAuswahl != 1 && iAuswahl != 2 && iAuswahl != 3 && iAuswahl != 4 && iAuswahl != 5 && iAuswahl != 6 && iAuswahl != 7 && iAuswahl != 8 && iAuswahl != 9)
{
    cout << "Kein gültiges Feld bitte wählen sie noch einmal!\n" << endl;
    cin.clear();
    // #include <limits>
    cin.ignore(std::numeric_limits<std::streamsize>::max(), '\n');
    cin >> iAuswahl;
}

Also,

while (iAuswahl != 1 && iAuswahl != 2 && iAuswahl != 3 && iAuswahl != 4 && iAuswahl != 5 && iAuswahl != 6 && iAuswahl != 7 && iAuswahl != 8 && iAuswahl != 9)

can be written as

if(iAuswahl < 1 || iAushwahl > 9)

Don't forget to initialize iAushwahl to 0, or to some other value, because if your cin >> iAushwahl fails, you will read the uninitialized variable.