Elneny has been linked with a move in this transfer window but manager Mikel Arteta has been impressed by the 28-year-old.
"I feel really happy and I have to thank Mikel Arteta for giving me a chance to play," said Elneny.
"I know it's not easy to be on loan and come back to Arsenal and I'm really happy because I made everyone feel like I was not away from the team. This makes me really happy and I have to thank Mikel Arteta because he helped me a lot to feel like this.
"He speaks to me always, saying things like 'we need you on the team' and he is always giving me good feedback and always pushing me to get the best from me. I'm really happy to be here.
"I'll give 100 per cent every day in the training and if they give me a chance to play, I will always give 100 per cent. Because it's the best for me, to play always in regular games and to give 100 per cent to the team, to help the team to win and make sure that we're going to build a team to be strong in the Premier League."