One way you can find compression algorithm used by Impala parquet table is via parquet-tools. This utility comes packaged with Cloudera CDH, for example, otherwise trivially built from source.
$ parquet-tools meta <parquet-file>
creator: impala version 2.13.0-SNAPSHOT (build 100d7da677f2c81efa6af2a5e3a2240199ae54d5)
file schema: schema
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
code: OPTIONAL BINARY R:0 D:1
description: OPTIONAL BINARY R:0 D:1
value: OPTIONAL INT32 O:INT_32 R:0 D:1
row group 1: RC:823 TS:20420
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
code: BINARY GZIP DO:4 FPO:1727 SZ:2806/10130/3.61 VC:823 ENC:RLE,PLAIN_DICTIONARY
description: BINARY GZIP DO:2884 FPO:12616 SZ:10815/32928/3.04 VC:823 ENC:RLE,PLAIN_DICTIONARY
value: INT32 GZIP DO:17462 FPO:19614 SZ:3241/4130/1.27 VC:823 ENC:RLE,PLAIN_DICTIONARY
Since generally in Parquet (not through Impala) compression can be set column-by-column, for each parquet row group you will see compression being used against each column stats.
parquet-tools inspect path/to/parquet/file
command – Apomixis