Atomic Wallet supports coinstaking right within app interface. Staking will works with the coins that do not require funds sending on the escrow accounts.
How to claim NEO GAS in Atomic Wallet?
NEO GAS is automatically claimed with the wallet start. You basically just need to close and open application to claim NEO GAS. This feature is available in the 1.37.0+ versions of the wallet.
If the NEO GAS is not automatically staking please send 1 NEO to yourself. (Send it to your address and then re-open the app).