SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    563, 564, 565, 566, 567, 568, 569, 570, 
    1101, 1103, 1105, 1107, 1109, 1123, 
    1132, 1134, 1137, 1155, 1168, 1179, 
    1185, 1188, 1197, 1200, 1203, 1205, 
    1220, 1231, 1235, 1318, 3354
  )

Query time 0.00097

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": ["parent"],
      "key": "parent",
      "key_length": "3",
      "used_key_parts": ["parent_id"],
      "rows": 176,
      "filtered": 100,
      "index_condition": "cscart_categories.parent_id in (563,564,565,566,567,568,569,570,1101,1103,1105,1107,1109,1123,1132,1134,1137,1155,1168,1179,1185,1188,1197,1200,1203,1205,1220,1231,1235,1318,3354)"
    }
  }
}

Result

category_id parent_id
1244 566
1245 566
1246 566
1247 566
1248 566
1249 566
1250 566
1251 566
1252 566
1253 566
1254 566
1255 566
1292 566
1293 566
1294 566
1295 566
1296 566
1297 566
1298 566
1299 566
1300 566
1301 566
1302 566
1303 566
1304 566
1305 566
1306 566
1307 566
1308 566
1309 566
1310 566
1163 567
1194 567
1195 567
1230 567
1274 567
1275 567
1312 567
1313 567
1314 567
1315 567
1111 568
1112 568
1113 568
1114 568
1115 568
1116 568
1117 568
1118 568
1119 568
1120 568
1121 568
1122 568
1141 568
1142 568
1143 568
1144 568
1199 568
1207 568
1208 568
1287 568
1288 568
1289 568
1290 568
1291 568
1131 569
1139 569
1145 569
1146 569
1147 569
1148 569
1149 569
1150 569
1151 569
1152 569
1157 569
1158 569
1159 569
1160 569
1161 569
1162 569
1164 569
1165 569
1166 569
1167 569
1222 569
1223 569
1224 569
1225 569
1226 569
1227 569
1239 569
1240 569
1241 569
1242 569
1243 569
1258 569
1259 569
1262 569
1263 569
1265 569
1266 569
1268 569
1269 569
1270 569
1271 569
1320 569
3675 569
1130 570
1154 570
1175 570
1176 570
1210 570
1211 570
1212 570
1213 570
1214 570
1215 570
1217 570
1219 570
1234 570
1317 570
1102 1101
1104 1103
1106 1105
1136 1105
1277 1105
1278 1105
1280 1105
1281 1105
1282 1105
1283 1105
1284 1105
1286 1105
1108 1107
1153 1107
1184 1107
1279 1107
1311 1107
1110 1109
1124 1123
1125 1123
1126 1123
1127 1123
1128 1123
1129 1123
1177 1123
1285 1123
1133 1132
1140 1132
1135 1134
1138 1137
1171 1137
1172 1137
1173 1137
1178 1137
1193 1137
1196 1137
1209 1137
1228 1137
1267 1137
1156 1155
1169 1168
1170 1168
1174 1168
1180 1179
1181 1179
1182 1179
1183 1179
1186 1185
1187 1185
1190 1185
1191 1185
1192 1185
1233 1185
1189 1188
1198 1197
1257 1197
1201 1200
1202 1200
1273 1200
1276 1200
1316 1200
1204 1203
1229 1203
1256 1203
1260 1203
1261 1203
1206 1205
1237 1205
1238 1205
1264 1205
1221 1220
1272 1220
1232 1231
1236 1235
1319 1318