This Works!
% Button pushed function: SubmitButton
function SubmitButtonPushed(app, event)
filename = 'ArticleRequest.xlsx'; %file
newEmail = {app.TextArea_Email.Value}; %data
Emails = readcell('ArticleRequest.xlsx','Range','Var1'); % read in emails
% append new row to emails array
Emails = [Emails; newEmail]; % append new email to list of emails
writecell(Emails,filename); % write it to file
app.TextArea_Email.Value = 'Press <Next> to continue.';
app.SubmitButton.Visible = 'off';
uiconfirm(app.UIFigure,{'The file has been created.','Click OK'},'File Creation Confirmation','Icon','Success');
app.NextButton_Email.Enable = 'on';
end